Advanced search options

Sorted by: relevance · author · university · date | New search

You searched for `subject:(matroid)`

.
Showing records 1 – 30 of
71 total matches.

Search Limiters

Dates

- 2015 – 2019 (30)
- 2010 – 2014 (30)
- 2005 – 2009 (12)

Universities

Country

- US (27)
- New Zealand (17)
- Canada (12)

▼ Search Limiters

Victoria University of Wellington

1.
Williams, Alan.
Maintaining *Matroid* 3-Connectivity With Respect to a Fixed Basis.

Degree: 2010, Victoria University of Wellington

URL: http://hdl.handle.net/10063/1630

► We show that for any 3-connected *matroid* M on a ground set of at least four elements such that M does not contain any 4-element…
(more)

Subjects/Keywords: Matroid; Connectivity; Basis

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Williams, A. (2010). Maintaining Matroid 3-Connectivity With Respect to a Fixed Basis. (Masters Thesis). Victoria University of Wellington. Retrieved from http://hdl.handle.net/10063/1630

Chicago Manual of Style (16^{th} Edition):

Williams, Alan. “Maintaining Matroid 3-Connectivity With Respect to a Fixed Basis.” 2010. Masters Thesis, Victoria University of Wellington. Accessed June 26, 2019. http://hdl.handle.net/10063/1630.

MLA Handbook (7^{th} Edition):

Williams, Alan. “Maintaining Matroid 3-Connectivity With Respect to a Fixed Basis.” 2010. Web. 26 Jun 2019.

Vancouver:

Williams A. Maintaining Matroid 3-Connectivity With Respect to a Fixed Basis. [Internet] [Masters thesis]. Victoria University of Wellington; 2010. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10063/1630.

Council of Science Editors:

Williams A. Maintaining Matroid 3-Connectivity With Respect to a Fixed Basis. [Masters Thesis]. Victoria University of Wellington; 2010. Available from: http://hdl.handle.net/10063/1630

Victoria University of Wellington

2. Clark, Ben. Tangles, Trees and Flowers.

Degree: 2011, Victoria University of Wellington

URL: http://hdl.handle.net/10063/1704

► A tangle of order k in a connectivity function λ may be thought of as a "k-connected component" of λ. For a connectivity function λ…
(more)

Subjects/Keywords: Matroid; Connectivity; Tangles

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Clark, B. (2011). Tangles, Trees and Flowers. (Masters Thesis). Victoria University of Wellington. Retrieved from http://hdl.handle.net/10063/1704

Chicago Manual of Style (16^{th} Edition):

Clark, Ben. “Tangles, Trees and Flowers.” 2011. Masters Thesis, Victoria University of Wellington. Accessed June 26, 2019. http://hdl.handle.net/10063/1704.

MLA Handbook (7^{th} Edition):

Clark, Ben. “Tangles, Trees and Flowers.” 2011. Web. 26 Jun 2019.

Vancouver:

Clark B. Tangles, Trees and Flowers. [Internet] [Masters thesis]. Victoria University of Wellington; 2011. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10063/1704.

Council of Science Editors:

Clark B. Tangles, Trees and Flowers. [Masters Thesis]. Victoria University of Wellington; 2011. Available from: http://hdl.handle.net/10063/1704

University of Waterloo

3. Nelson, Peter. Exponentially Dense Matroids.

Degree: 2011, University of Waterloo

URL: http://hdl.handle.net/10012/6399

► This thesis deals with questions relating to the maximum density of rank-n matroids in a minor-closed class. Consider a minor-closed class M of matroids that…
(more)

Subjects/Keywords: Matroid; Mathematics; Combinatorics

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Nelson, P. (2011). Exponentially Dense Matroids. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/6399

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Nelson, Peter. “Exponentially Dense Matroids.” 2011. Thesis, University of Waterloo. Accessed June 26, 2019. http://hdl.handle.net/10012/6399.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Nelson, Peter. “Exponentially Dense Matroids.” 2011. Web. 26 Jun 2019.

Vancouver:

Nelson P. Exponentially Dense Matroids. [Internet] [Thesis]. University of Waterloo; 2011. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10012/6399.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Nelson P. Exponentially Dense Matroids. [Thesis]. University of Waterloo; 2011. Available from: http://hdl.handle.net/10012/6399

Not specified: Masters Thesis or Doctoral Dissertation

Victoria University of Wellington

4. Welsh, Michael. Golden-Mean and Secret Sharing Matroids.

Degree: 2011, Victoria University of Wellington

URL: http://hdl.handle.net/10063/1683

► Maximum-sized results are an important part of *matroid* theory, and results currently exist for various classes of matroids. Archer conjectured that the maximum-sized golden-mean matroids…
(more)

Subjects/Keywords: Matroid theory; Secret sharing

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Welsh, M. (2011). Golden-Mean and Secret Sharing Matroids. (Masters Thesis). Victoria University of Wellington. Retrieved from http://hdl.handle.net/10063/1683

Chicago Manual of Style (16^{th} Edition):

Welsh, Michael. “Golden-Mean and Secret Sharing Matroids.” 2011. Masters Thesis, Victoria University of Wellington. Accessed June 26, 2019. http://hdl.handle.net/10063/1683.

MLA Handbook (7^{th} Edition):

Welsh, Michael. “Golden-Mean and Secret Sharing Matroids.” 2011. Web. 26 Jun 2019.

Vancouver:

Welsh M. Golden-Mean and Secret Sharing Matroids. [Internet] [Masters thesis]. Victoria University of Wellington; 2011. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10063/1683.

Council of Science Editors:

Welsh M. Golden-Mean and Secret Sharing Matroids. [Masters Thesis]. Victoria University of Wellington; 2011. Available from: http://hdl.handle.net/10063/1683

Victoria University of Wellington

5. Prideaux, Kadin. Matroids, Cyclic Flats, and Polyhedra.

Degree: 2016, Victoria University of Wellington

URL: http://hdl.handle.net/10063/5204

► Matroids have a wide variety of distinct, cryptomorphic axiom systems that are capable of defining them. A common feature of these is that they are…
(more)

Subjects/Keywords: Matroid theory; Discrete geometry; Combinatorics

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Prideaux, K. (2016). Matroids, Cyclic Flats, and Polyhedra. (Masters Thesis). Victoria University of Wellington. Retrieved from http://hdl.handle.net/10063/5204

Chicago Manual of Style (16^{th} Edition):

Prideaux, Kadin. “Matroids, Cyclic Flats, and Polyhedra.” 2016. Masters Thesis, Victoria University of Wellington. Accessed June 26, 2019. http://hdl.handle.net/10063/5204.

MLA Handbook (7^{th} Edition):

Prideaux, Kadin. “Matroids, Cyclic Flats, and Polyhedra.” 2016. Web. 26 Jun 2019.

Vancouver:

Prideaux K. Matroids, Cyclic Flats, and Polyhedra. [Internet] [Masters thesis]. Victoria University of Wellington; 2016. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10063/5204.

Council of Science Editors:

Prideaux K. Matroids, Cyclic Flats, and Polyhedra. [Masters Thesis]. Victoria University of Wellington; 2016. Available from: http://hdl.handle.net/10063/5204

Victoria University of Wellington

6. Perrott, Alexander. Identically Self-Dual Matroids.

Degree: 2017, Victoria University of Wellington

URL: http://hdl.handle.net/10063/6810

► In this thesis we focus on identically self-dual matroids and their minors. We show that every sparse paving *matroid* is a minor of an identically…
(more)

Subjects/Keywords: Matroid; Code; Self-dual

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Perrott, A. (2017). Identically Self-Dual Matroids. (Masters Thesis). Victoria University of Wellington. Retrieved from http://hdl.handle.net/10063/6810

Chicago Manual of Style (16^{th} Edition):

Perrott, Alexander. “Identically Self-Dual Matroids.” 2017. Masters Thesis, Victoria University of Wellington. Accessed June 26, 2019. http://hdl.handle.net/10063/6810.

MLA Handbook (7^{th} Edition):

Perrott, Alexander. “Identically Self-Dual Matroids.” 2017. Web. 26 Jun 2019.

Vancouver:

Perrott A. Identically Self-Dual Matroids. [Internet] [Masters thesis]. Victoria University of Wellington; 2017. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10063/6810.

Council of Science Editors:

Perrott A. Identically Self-Dual Matroids. [Masters Thesis]. Victoria University of Wellington; 2017. Available from: http://hdl.handle.net/10063/6810

Cornell University

7. Hughes, Marisa. Quotients Of Spheres By Linear Actions Of Abelian Groups .

Degree: 2013, Cornell University

URL: http://hdl.handle.net/1813/33900

► We consider quotients of spheres by linear actions of real tori and finite abelian groups. To each quotient we associate a *matroid* or sequence of…
(more)

Subjects/Keywords: Quotient Space; Matroid; Homology

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hughes, M. (2013). Quotients Of Spheres By Linear Actions Of Abelian Groups . (Thesis). Cornell University. Retrieved from http://hdl.handle.net/1813/33900

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Hughes, Marisa. “Quotients Of Spheres By Linear Actions Of Abelian Groups .” 2013. Thesis, Cornell University. Accessed June 26, 2019. http://hdl.handle.net/1813/33900.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Hughes, Marisa. “Quotients Of Spheres By Linear Actions Of Abelian Groups .” 2013. Web. 26 Jun 2019.

Vancouver:

Hughes M. Quotients Of Spheres By Linear Actions Of Abelian Groups . [Internet] [Thesis]. Cornell University; 2013. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/1813/33900.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hughes M. Quotients Of Spheres By Linear Actions Of Abelian Groups . [Thesis]. Cornell University; 2013. Available from: http://hdl.handle.net/1813/33900

Not specified: Masters Thesis or Doctoral Dissertation

Louisiana State University

8.
Chun, Deborah.
Capturing elements in *matroid* minors.

Degree: PhD, Applied Mathematics, 2011, Louisiana State University

URL: etd-06302011-063215 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1033

► In this dissertation, we begin with an introduction to a *matroid* as the natural generalization of independence arising in three different fields of mathematics. In…
(more)

Subjects/Keywords: matroid; unavoidable minor; ramsey; rounded

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Chun, D. (2011). Capturing elements in matroid minors. (Doctoral Dissertation). Louisiana State University. Retrieved from etd-06302011-063215 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1033

Chicago Manual of Style (16^{th} Edition):

Chun, Deborah. “Capturing elements in matroid minors.” 2011. Doctoral Dissertation, Louisiana State University. Accessed June 26, 2019. etd-06302011-063215 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1033.

MLA Handbook (7^{th} Edition):

Chun, Deborah. “Capturing elements in matroid minors.” 2011. Web. 26 Jun 2019.

Vancouver:

Chun D. Capturing elements in matroid minors. [Internet] [Doctoral dissertation]. Louisiana State University; 2011. [cited 2019 Jun 26]. Available from: etd-06302011-063215 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1033.

Council of Science Editors:

Chun D. Capturing elements in matroid minors. [Doctoral Dissertation]. Louisiana State University; 2011. Available from: etd-06302011-063215 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1033

Louisiana State University

9. Chun, Carolyn Barlow. Unavoidable minors in graphs and matroids.

Degree: PhD, Applied Mathematics, 2009, Louisiana State University

URL: etd-07092009-140417 ; https://digitalcommons.lsu.edu/gradschool_dissertations/961

► It is well known that every sufficiently large connected graph G has either a vertex of high degree or a long path. If we require…
(more)

Subjects/Keywords: unavoidable; minor; matroid; graph

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Chun, C. B. (2009). Unavoidable minors in graphs and matroids. (Doctoral Dissertation). Louisiana State University. Retrieved from etd-07092009-140417 ; https://digitalcommons.lsu.edu/gradschool_dissertations/961

Chicago Manual of Style (16^{th} Edition):

Chun, Carolyn Barlow. “Unavoidable minors in graphs and matroids.” 2009. Doctoral Dissertation, Louisiana State University. Accessed June 26, 2019. etd-07092009-140417 ; https://digitalcommons.lsu.edu/gradschool_dissertations/961.

MLA Handbook (7^{th} Edition):

Chun, Carolyn Barlow. “Unavoidable minors in graphs and matroids.” 2009. Web. 26 Jun 2019.

Vancouver:

Chun CB. Unavoidable minors in graphs and matroids. [Internet] [Doctoral dissertation]. Louisiana State University; 2009. [cited 2019 Jun 26]. Available from: etd-07092009-140417 ; https://digitalcommons.lsu.edu/gradschool_dissertations/961.

Council of Science Editors:

Chun CB. Unavoidable minors in graphs and matroids. [Doctoral Dissertation]. Louisiana State University; 2009. Available from: etd-07092009-140417 ; https://digitalcommons.lsu.edu/gradschool_dissertations/961

University of Waterloo

10. Christian, Robin. Infinite graphs, graph-like spaces and B-matroids.

Degree: 2011, University of Waterloo

URL: http://hdl.handle.net/10012/5735

► The central theme of this thesis is to prove results about infinite mathematical objects by studying the behaviour of their finite substructures. In particular, we…
(more)

Subjects/Keywords: matroid; graph-like space

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Christian, R. (2011). Infinite graphs, graph-like spaces and B-matroids. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/5735

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Christian, Robin. “Infinite graphs, graph-like spaces and B-matroids.” 2011. Thesis, University of Waterloo. Accessed June 26, 2019. http://hdl.handle.net/10012/5735.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Christian, Robin. “Infinite graphs, graph-like spaces and B-matroids.” 2011. Web. 26 Jun 2019.

Vancouver:

Christian R. Infinite graphs, graph-like spaces and B-matroids. [Internet] [Thesis]. University of Waterloo; 2011. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10012/5735.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Christian R. Infinite graphs, graph-like spaces and B-matroids. [Thesis]. University of Waterloo; 2011. Available from: http://hdl.handle.net/10012/5735

Not specified: Masters Thesis or Doctoral Dissertation

Victoria University of Wellington

11. Probert, Andrew. Chordality in Matroids: In Search of the Converse to Hliněný's Theorem.

Degree: 2018, Victoria University of Wellington

URL: http://hdl.handle.net/10063/6952

► Bodlaender et al. [7] proved a converse to Courcelle's Theorem for graphs [15] for the class of chordal graphs of bounded treewidth. Hliněný [25] generalised…
(more)

Subjects/Keywords: Matroid; Chordality; Tree decomposition; MSOL

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Probert, A. (2018). Chordality in Matroids: In Search of the Converse to Hliněný's Theorem. (Doctoral Dissertation). Victoria University of Wellington. Retrieved from http://hdl.handle.net/10063/6952

Chicago Manual of Style (16^{th} Edition):

Probert, Andrew. “Chordality in Matroids: In Search of the Converse to Hliněný's Theorem.” 2018. Doctoral Dissertation, Victoria University of Wellington. Accessed June 26, 2019. http://hdl.handle.net/10063/6952.

MLA Handbook (7^{th} Edition):

Probert, Andrew. “Chordality in Matroids: In Search of the Converse to Hliněný's Theorem.” 2018. Web. 26 Jun 2019.

Vancouver:

Probert A. Chordality in Matroids: In Search of the Converse to Hliněný's Theorem. [Internet] [Doctoral dissertation]. Victoria University of Wellington; 2018. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10063/6952.

Council of Science Editors:

Probert A. Chordality in Matroids: In Search of the Converse to Hliněný's Theorem. [Doctoral Dissertation]. Victoria University of Wellington; 2018. Available from: http://hdl.handle.net/10063/6952

University of Waterloo

12. Wong, Chung-Yin. On the Excluded Minors for Dyadic Matroids.

Degree: 2019, University of Waterloo

URL: http://hdl.handle.net/10012/14367

► The study of the class of dyadic matroids, the matroids representable over both GF(3) and GF(5), is a natural step to finding the excluded minors…
(more)

Subjects/Keywords: matroids; matroid representability; excluded minors

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Wong, C. (2019). On the Excluded Minors for Dyadic Matroids. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/14367

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Wong, Chung-Yin. “On the Excluded Minors for Dyadic Matroids.” 2019. Thesis, University of Waterloo. Accessed June 26, 2019. http://hdl.handle.net/10012/14367.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Wong, Chung-Yin. “On the Excluded Minors for Dyadic Matroids.” 2019. Web. 26 Jun 2019.

Vancouver:

Wong C. On the Excluded Minors for Dyadic Matroids. [Internet] [Thesis]. University of Waterloo; 2019. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10012/14367.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wong C. On the Excluded Minors for Dyadic Matroids. [Thesis]. University of Waterloo; 2019. Available from: http://hdl.handle.net/10012/14367

Not specified: Masters Thesis or Doctoral Dissertation

Louisiana State University

13.
Moss, John Tyler.
Extremal Problems in *Matroid* Connectivity.

Degree: PhD, Applied Mathematics, 2014, Louisiana State University

URL: etd-07052014-001609 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2234

► *Matroid* k-connectivity is typically defined in terms of a connectivity function. We can also say that a *matroid* is 2-connected if and only if for…
(more)

Subjects/Keywords: unavoidable minor; bicircular matroid; Bixby's Lemma; 3-connectivity; matroid

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Moss, J. T. (2014). Extremal Problems in Matroid Connectivity. (Doctoral Dissertation). Louisiana State University. Retrieved from etd-07052014-001609 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2234

Chicago Manual of Style (16^{th} Edition):

Moss, John Tyler. “Extremal Problems in Matroid Connectivity.” 2014. Doctoral Dissertation, Louisiana State University. Accessed June 26, 2019. etd-07052014-001609 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2234.

MLA Handbook (7^{th} Edition):

Moss, John Tyler. “Extremal Problems in Matroid Connectivity.” 2014. Web. 26 Jun 2019.

Vancouver:

Moss JT. Extremal Problems in Matroid Connectivity. [Internet] [Doctoral dissertation]. Louisiana State University; 2014. [cited 2019 Jun 26]. Available from: etd-07052014-001609 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2234.

Council of Science Editors:

Moss JT. Extremal Problems in Matroid Connectivity. [Doctoral Dissertation]. Louisiana State University; 2014. Available from: etd-07052014-001609 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2234

California State University – San Bernardino

14. Garcia, Zachary. Exploring Flag Matroids and Duality.

Degree: MAin Mathematics, Mathematics, 2018, California State University – San Bernardino

URL: https://scholarworks.lib.csusb.edu/etd/777

► Matroids capture an abstraction of independence in mathematics, and in doing so, connect discrete mathematical structures that arise in a variety of contexts. A…
(more)

Subjects/Keywords: Matroid; Flag Matroid; Duality; Gale Ordering; Other Mathematics

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Garcia, Z. (2018). Exploring Flag Matroids and Duality. (Thesis). California State University – San Bernardino. Retrieved from https://scholarworks.lib.csusb.edu/etd/777

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Garcia, Zachary. “Exploring Flag Matroids and Duality.” 2018. Thesis, California State University – San Bernardino. Accessed June 26, 2019. https://scholarworks.lib.csusb.edu/etd/777.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Garcia, Zachary. “Exploring Flag Matroids and Duality.” 2018. Web. 26 Jun 2019.

Vancouver:

Garcia Z. Exploring Flag Matroids and Duality. [Internet] [Thesis]. California State University – San Bernardino; 2018. [cited 2019 Jun 26]. Available from: https://scholarworks.lib.csusb.edu/etd/777.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Garcia Z. Exploring Flag Matroids and Duality. [Thesis]. California State University – San Bernardino; 2018. Available from: https://scholarworks.lib.csusb.edu/etd/777

Not specified: Masters Thesis or Doctoral Dissertation

Louisiana State University

15. Grace, Kevin Manuel. Templates for Representable Matroids.

Degree: PhD, Discrete Mathematics and Combinatorics, 2018, Louisiana State University

URL: https://digitalcommons.lsu.edu/gradschool_dissertations/4610

► The *matroid* structure theory of Geelen, Gerards, and Whittle has led to a hypothesis that a highly connected member of a minor-closed class of…
(more)

Subjects/Keywords: matroid structure; perturbation; extremal function; even-cycle and even-cut matroids; 1-flowing matroid; golden-mean matroid

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Grace, K. M. (2018). Templates for Representable Matroids. (Doctoral Dissertation). Louisiana State University. Retrieved from https://digitalcommons.lsu.edu/gradschool_dissertations/4610

Chicago Manual of Style (16^{th} Edition):

Grace, Kevin Manuel. “Templates for Representable Matroids.” 2018. Doctoral Dissertation, Louisiana State University. Accessed June 26, 2019. https://digitalcommons.lsu.edu/gradschool_dissertations/4610.

MLA Handbook (7^{th} Edition):

Grace, Kevin Manuel. “Templates for Representable Matroids.” 2018. Web. 26 Jun 2019.

Vancouver:

Grace KM. Templates for Representable Matroids. [Internet] [Doctoral dissertation]. Louisiana State University; 2018. [cited 2019 Jun 26]. Available from: https://digitalcommons.lsu.edu/gradschool_dissertations/4610.

Council of Science Editors:

Grace KM. Templates for Representable Matroids. [Doctoral Dissertation]. Louisiana State University; 2018. Available from: https://digitalcommons.lsu.edu/gradschool_dissertations/4610

Victoria University of Wellington

16.
Hameed, Ali M.
Topics in *matroid* union.

Degree: 2008, Victoria University of Wellington

URL: http://hdl.handle.net/10063/1755

► The operation of *matroid* union was introduced by Nash-Williams in 1966. A *matroid* is indecomposable if it cannot be written in the form M =…
(more)

Subjects/Keywords: Matroid; Union; Topics

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hameed, A. M. (2008). Topics in matroid union. (Masters Thesis). Victoria University of Wellington. Retrieved from http://hdl.handle.net/10063/1755

Chicago Manual of Style (16^{th} Edition):

Hameed, Ali M. “Topics in matroid union.” 2008. Masters Thesis, Victoria University of Wellington. Accessed June 26, 2019. http://hdl.handle.net/10063/1755.

MLA Handbook (7^{th} Edition):

Hameed, Ali M. “Topics in matroid union.” 2008. Web. 26 Jun 2019.

Vancouver:

Hameed AM. Topics in matroid union. [Internet] [Masters thesis]. Victoria University of Wellington; 2008. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10063/1755.

Council of Science Editors:

Hameed AM. Topics in matroid union. [Masters Thesis]. Victoria University of Wellington; 2008. Available from: http://hdl.handle.net/10063/1755

Victoria University of Wellington

17. Hall, Jasmine. Generalizing the Algebra of Throws to Rank-3 Matroids.

Degree: 2016, Victoria University of Wellington

URL: http://hdl.handle.net/10063/5160

► The algebra of throws is a geometric construction which reveals the underlying algebraic operations of addition and multiplication in a projective plane. In Desarguesian projective…
(more)

Subjects/Keywords: Matroid theory; Algebra of throws; Mathematics

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hall, J. (2016). Generalizing the Algebra of Throws to Rank-3 Matroids. (Masters Thesis). Victoria University of Wellington. Retrieved from http://hdl.handle.net/10063/5160

Chicago Manual of Style (16^{th} Edition):

Hall, Jasmine. “Generalizing the Algebra of Throws to Rank-3 Matroids.” 2016. Masters Thesis, Victoria University of Wellington. Accessed June 26, 2019. http://hdl.handle.net/10063/5160.

MLA Handbook (7^{th} Edition):

Hall, Jasmine. “Generalizing the Algebra of Throws to Rank-3 Matroids.” 2016. Web. 26 Jun 2019.

Vancouver:

Hall J. Generalizing the Algebra of Throws to Rank-3 Matroids. [Internet] [Masters thesis]. Victoria University of Wellington; 2016. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10063/5160.

Council of Science Editors:

Hall J. Generalizing the Algebra of Throws to Rank-3 Matroids. [Masters Thesis]. Victoria University of Wellington; 2016. Available from: http://hdl.handle.net/10063/5160

California State University – San Bernardino

18. Johnson, Stephen Lee. A Dual Fano, and Dual Non-Fano Matroidal Network.

Degree: MAin Mathematics, Mathematics, 2016, California State University – San Bernardino

URL: http://scholarworks.lib.csusb.edu/etd/340

► Matroidal networks are useful tools in furthering research in network coding. They have been used to show the limitations of linear coding solutions. In…
(more)

Subjects/Keywords: uniform matroid; repesentation; duality; Other Mathematics

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Johnson, S. L. (2016). A Dual Fano, and Dual Non-Fano Matroidal Network. (Thesis). California State University – San Bernardino. Retrieved from http://scholarworks.lib.csusb.edu/etd/340

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Johnson, Stephen Lee. “A Dual Fano, and Dual Non-Fano Matroidal Network.” 2016. Thesis, California State University – San Bernardino. Accessed June 26, 2019. http://scholarworks.lib.csusb.edu/etd/340.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Johnson, Stephen Lee. “A Dual Fano, and Dual Non-Fano Matroidal Network.” 2016. Web. 26 Jun 2019.

Vancouver:

Johnson SL. A Dual Fano, and Dual Non-Fano Matroidal Network. [Internet] [Thesis]. California State University – San Bernardino; 2016. [cited 2019 Jun 26]. Available from: http://scholarworks.lib.csusb.edu/etd/340.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Johnson SL. A Dual Fano, and Dual Non-Fano Matroidal Network. [Thesis]. California State University – San Bernardino; 2016. Available from: http://scholarworks.lib.csusb.edu/etd/340

Not specified: Masters Thesis or Doctoral Dissertation

University of California – Berkeley

19. Doker, Jeffrey Samuel. Geometry of Generalized Permutohedra.

Degree: Mathematics, 2011, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/34p6s66v

► We study generalized permutohedra and some of the geometric properties they exhibit. We decompose *matroid* polytopes (and several related polytopes) into signed Minkowski sums of…
(more)

Subjects/Keywords: Mathematics; associahedron; generalized permutohedron; matroid; multiplihedron; polytope

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Doker, J. S. (2011). Geometry of Generalized Permutohedra. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/34p6s66v

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Doker, Jeffrey Samuel. “Geometry of Generalized Permutohedra.” 2011. Thesis, University of California – Berkeley. Accessed June 26, 2019. http://www.escholarship.org/uc/item/34p6s66v.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Doker, Jeffrey Samuel. “Geometry of Generalized Permutohedra.” 2011. Web. 26 Jun 2019.

Vancouver:

Doker JS. Geometry of Generalized Permutohedra. [Internet] [Thesis]. University of California – Berkeley; 2011. [cited 2019 Jun 26]. Available from: http://www.escholarship.org/uc/item/34p6s66v.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Doker JS. Geometry of Generalized Permutohedra. [Thesis]. University of California – Berkeley; 2011. Available from: http://www.escholarship.org/uc/item/34p6s66v

Not specified: Masters Thesis or Doctoral Dissertation

University of Waterloo

20. Pivotto, Irene. On Excluded Minors for Even Cut Matroids.

Degree: 2007, University of Waterloo

URL: http://hdl.handle.net/10012/2680

► In this thesis we will present two main theorems that can be used to study minor minimal non even cut matroids. Given any signed graph…
(more)

Subjects/Keywords: even cut matroid

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Pivotto, I. (2007). On Excluded Minors for Even Cut Matroids. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/2680

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Pivotto, Irene. “On Excluded Minors for Even Cut Matroids.” 2007. Thesis, University of Waterloo. Accessed June 26, 2019. http://hdl.handle.net/10012/2680.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Pivotto, Irene. “On Excluded Minors for Even Cut Matroids.” 2007. Web. 26 Jun 2019.

Vancouver:

Pivotto I. On Excluded Minors for Even Cut Matroids. [Internet] [Thesis]. University of Waterloo; 2007. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10012/2680.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pivotto I. On Excluded Minors for Even Cut Matroids. [Thesis]. University of Waterloo; 2007. Available from: http://hdl.handle.net/10012/2680

Not specified: Masters Thesis or Doctoral Dissertation

Victoria University of Wellington

21. Critchlow, William. Randomness in classes of matroids.

Degree: 2018, Victoria University of Wellington

URL: http://hdl.handle.net/10063/6949

► This thesis is inspired by the observation that we have no good random model for matroids. That stands in contrast to graphs, which admit a…
(more)

Subjects/Keywords: Matroid; Sparse paving; Transversal; Graham-Sloane

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Critchlow, W. (2018). Randomness in classes of matroids. (Doctoral Dissertation). Victoria University of Wellington. Retrieved from http://hdl.handle.net/10063/6949

Chicago Manual of Style (16^{th} Edition):

Critchlow, William. “Randomness in classes of matroids.” 2018. Doctoral Dissertation, Victoria University of Wellington. Accessed June 26, 2019. http://hdl.handle.net/10063/6949.

MLA Handbook (7^{th} Edition):

Critchlow, William. “Randomness in classes of matroids.” 2018. Web. 26 Jun 2019.

Vancouver:

Critchlow W. Randomness in classes of matroids. [Internet] [Doctoral dissertation]. Victoria University of Wellington; 2018. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10063/6949.

Council of Science Editors:

Critchlow W. Randomness in classes of matroids. [Doctoral Dissertation]. Victoria University of Wellington; 2018. Available from: http://hdl.handle.net/10063/6949

Rice University

22.
Arellano, John David.
Algorithms to Find the Girth and Cogirth of a Linear * Matroid*.

Degree: PhD, Engineering, 2014, Rice University

URL: http://hdl.handle.net/1911/87699

► In this thesis, I present algorithms to find the cogirth and girth, the cardinality of the smallest cocircuit and circuit respectively, of a linear *matroid*.…
(more)

Subjects/Keywords: set covering; linear matroid; cogirth; girth

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Arellano, J. D. (2014). Algorithms to Find the Girth and Cogirth of a Linear Matroid. (Doctoral Dissertation). Rice University. Retrieved from http://hdl.handle.net/1911/87699

Chicago Manual of Style (16^{th} Edition):

Arellano, John David. “Algorithms to Find the Girth and Cogirth of a Linear Matroid.” 2014. Doctoral Dissertation, Rice University. Accessed June 26, 2019. http://hdl.handle.net/1911/87699.

MLA Handbook (7^{th} Edition):

Arellano, John David. “Algorithms to Find the Girth and Cogirth of a Linear Matroid.” 2014. Web. 26 Jun 2019.

Vancouver:

Arellano JD. Algorithms to Find the Girth and Cogirth of a Linear Matroid. [Internet] [Doctoral dissertation]. Rice University; 2014. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/1911/87699.

Council of Science Editors:

Arellano JD. Algorithms to Find the Girth and Cogirth of a Linear Matroid. [Doctoral Dissertation]. Rice University; 2014. Available from: http://hdl.handle.net/1911/87699

University of Manchester

23. Malic, Goran. Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups.

Degree: 2015, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:283132

► In this thesis we study the properties of Lagrangian matroids of dessins d'enfants (also known as maps on orientable surfaces) and their behaviour under the…
(more)

Subjects/Keywords: Galois; dessin; matroid; Lagrangian matroid; absolute Galois group; partial duals; tropical curve; maps on surfaces

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Malic, G. (2015). Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:283132

Chicago Manual of Style (16^{th} Edition):

Malic, Goran. “Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups.” 2015. Doctoral Dissertation, University of Manchester. Accessed June 26, 2019. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:283132.

MLA Handbook (7^{th} Edition):

Malic, Goran. “Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups.” 2015. Web. 26 Jun 2019.

Vancouver:

Malic G. Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups. [Internet] [Doctoral dissertation]. University of Manchester; 2015. [cited 2019 Jun 26]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:283132.

Council of Science Editors:

Malic G. Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups. [Doctoral Dissertation]. University of Manchester; 2015. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:283132

24. Merrick, Cynthia. Some Properties of Simplicial Geometries .

Degree: 2013, George Mason University

URL: http://hdl.handle.net/1920/8360

► Simplicial geometries, whose points are the collection of all k-element subsets of a given (finite) ground set, were described in 1970 by Crapo and Rota…
(more)

Subjects/Keywords: Mathematics; combinatorial geometry; matroid; oriented matroid; simplicial geometry; simplicial matroid

…simplicial geometries on n vertices, via *matroid* properties such as
the structure of circuits… …of all circuits that can be built using six or fewer vertices. I prove
that the *matroid* of… …basis
of the geometry (and the *matroid*). I show that this basis, which I call a… …different proofs. Cordovil [2] also wrote a proof of
Reid’s 3-Simplicial *Matroid* Theorem… …This theorem states that if a *matroid* is representable
over a field F , then it is a minor of…

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Merrick, C. (2013). Some Properties of Simplicial Geometries . (Thesis). George Mason University. Retrieved from http://hdl.handle.net/1920/8360

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Merrick, Cynthia. “Some Properties of Simplicial Geometries .” 2013. Thesis, George Mason University. Accessed June 26, 2019. http://hdl.handle.net/1920/8360.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Merrick, Cynthia. “Some Properties of Simplicial Geometries .” 2013. Web. 26 Jun 2019.

Vancouver:

Merrick C. Some Properties of Simplicial Geometries . [Internet] [Thesis]. George Mason University; 2013. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/1920/8360.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Merrick C. Some Properties of Simplicial Geometries . [Thesis]. George Mason University; 2013. Available from: http://hdl.handle.net/1920/8360

Not specified: Masters Thesis or Doctoral Dissertation

University of Manchester

25. Malic, Goran. Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups.

Degree: PhD, 2015, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/grothendiecks-dessins-denfants-and-the-combinatorics-of-coxeter-groups(dd51878a-7b63-4bd2-9d27-74f10350d44e).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.677793

► In this thesis we study the properties of Lagrangian matroids of dessins d'enfants (also known as maps on orientable surfaces) and their behaviour under the…
(more)

Subjects/Keywords: 511; Galois; dessin; matroid; Lagrangian matroid; absolute Galois group; partial duals; tropical curve; maps on surfaces

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Malic, G. (2015). Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/grothendiecks-dessins-denfants-and-the-combinatorics-of-coxeter-groups(dd51878a-7b63-4bd2-9d27-74f10350d44e).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.677793

Chicago Manual of Style (16^{th} Edition):

Malic, Goran. “Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups.” 2015. Doctoral Dissertation, University of Manchester. Accessed June 26, 2019. https://www.research.manchester.ac.uk/portal/en/theses/grothendiecks-dessins-denfants-and-the-combinatorics-of-coxeter-groups(dd51878a-7b63-4bd2-9d27-74f10350d44e).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.677793.

MLA Handbook (7^{th} Edition):

Malic, Goran. “Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups.” 2015. Web. 26 Jun 2019.

Vancouver:

Malic G. Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups. [Internet] [Doctoral dissertation]. University of Manchester; 2015. [cited 2019 Jun 26]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/grothendiecks-dessins-denfants-and-the-combinatorics-of-coxeter-groups(dd51878a-7b63-4bd2-9d27-74f10350d44e).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.677793.

Council of Science Editors:

Malic G. Grothendieck's dessins d'enfants and the combinatorics of Coxeter groups. [Doctoral Dissertation]. University of Manchester; 2015. Available from: https://www.research.manchester.ac.uk/portal/en/theses/grothendiecks-dessins-denfants-and-the-combinatorics-of-coxeter-groups(dd51878a-7b63-4bd2-9d27-74f10350d44e).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.677793

University of Waterloo

26.
Kalhan, Sanchit.
The Capacitated *Matroid* Median Problem.

Degree: 2018, University of Waterloo

URL: http://hdl.handle.net/10012/13331

► In this thesis, we study the capacitated generalization of the *Matroid* Median Problem which is a generalization of the classical clustering problem called the k-Median…
(more)

Subjects/Keywords: Approximation algorithms; Matroid median; k-median; facility location; clustering

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Kalhan, S. (2018). The Capacitated Matroid Median Problem. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/13331

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Kalhan, Sanchit. “The Capacitated Matroid Median Problem.” 2018. Thesis, University of Waterloo. Accessed June 26, 2019. http://hdl.handle.net/10012/13331.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Kalhan, Sanchit. “The Capacitated Matroid Median Problem.” 2018. Web. 26 Jun 2019.

Vancouver:

Kalhan S. The Capacitated Matroid Median Problem. [Internet] [Thesis]. University of Waterloo; 2018. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10012/13331.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kalhan S. The Capacitated Matroid Median Problem. [Thesis]. University of Waterloo; 2018. Available from: http://hdl.handle.net/10012/13331

Not specified: Masters Thesis or Doctoral Dissertation

Texas A&M University

27. Cho, Jung Jin. On the robustness of clustered sensor networks.

Degree: 2009, Texas A&M University

URL: http://hdl.handle.net/1969.1/ETD-TAMU-2527

► Smart devices with multiple on-board sensors, networked through wired or wireless links, are distributed in physical systems and environments. Broad applications of such sensor networks…
(more)

Subjects/Keywords: Robustness; Sensor Network; Matroid; Cogirth; Breakdown Point; Robust Estimation

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Cho, J. J. (2009). On the robustness of clustered sensor networks. (Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/ETD-TAMU-2527

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Cho, Jung Jin. “On the robustness of clustered sensor networks.” 2009. Thesis, Texas A&M University. Accessed June 26, 2019. http://hdl.handle.net/1969.1/ETD-TAMU-2527.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Cho, Jung Jin. “On the robustness of clustered sensor networks.” 2009. Web. 26 Jun 2019.

Vancouver:

Cho JJ. On the robustness of clustered sensor networks. [Internet] [Thesis]. Texas A&M University; 2009. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2527.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Cho JJ. On the robustness of clustered sensor networks. [Thesis]. Texas A&M University; 2009. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2527

Not specified: Masters Thesis or Doctoral Dissertation

28. Miller, Joel. Matroids in which every pair of elements belongs to both a 4-circuit and a 4-cocircuit.

Degree: 2014, Victoria University of Wellington

URL: http://hdl.handle.net/10063/3299

► In this thesis, we analyse the matroids which have the property that every pair of elements belongs to both a 4-circuit and a 4-cocircuit. In…
(more)

Subjects/Keywords: Matroid; Structure; Discrete; Mathematics

…concepts and terminology of *matroid* theory. A good introduction to
*matroid* theory can be found in… …a *matroid*. Then
|C ∩ R| = 1.
Proof. Suppose C and R are a circuit and a cocircuit of a… …*matroid* M with
C ∩ R = {x}. We know that the complement of a cocircuit is a hyperplane… …suits us to define spikes in terms
of a *matroid* structure which we will make use of later… …stars.
Definition 2.2. Let M be a *matroid*. For some k ≥ 3, let the subset
A = {a1 , b1…

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Miller, J. (2014). Matroids in which every pair of elements belongs to both a 4-circuit and a 4-cocircuit. (Masters Thesis). Victoria University of Wellington. Retrieved from http://hdl.handle.net/10063/3299

Chicago Manual of Style (16^{th} Edition):

Miller, Joel. “Matroids in which every pair of elements belongs to both a 4-circuit and a 4-cocircuit.” 2014. Masters Thesis, Victoria University of Wellington. Accessed June 26, 2019. http://hdl.handle.net/10063/3299.

MLA Handbook (7^{th} Edition):

Miller, Joel. “Matroids in which every pair of elements belongs to both a 4-circuit and a 4-cocircuit.” 2014. Web. 26 Jun 2019.

Vancouver:

Miller J. Matroids in which every pair of elements belongs to both a 4-circuit and a 4-cocircuit. [Internet] [Masters thesis]. Victoria University of Wellington; 2014. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10063/3299.

Council of Science Editors:

Miller J. Matroids in which every pair of elements belongs to both a 4-circuit and a 4-cocircuit. [Masters Thesis]. Victoria University of Wellington; 2014. Available from: http://hdl.handle.net/10063/3299

29. Mo, Songbao. The Structure of Connectivity Functions.

Degree: 2014, Victoria University of Wellington

URL: http://hdl.handle.net/10063/3426

► Graphs, matroids and polymatroids all have associated connectivity functions, and many properties of these structures follow from properties of their connectivity functions. This motivates the…
(more)

Subjects/Keywords: Connectivity; Matroid; Polymatroid

…follow the convention in *matroid* theory to write x instead of {x} to denote the
set… …any unexplained *matroid*
terminologies that appear later in this thesis follow from [5… …x5D;.
A *matroid* M is an ordered pair (E, r), where E is a finite set, and r is an… …x29;, for all X ⊆ Y ⊆ E.
(R4) r is submodular.
If M is the *matroid* (E, r)… …then M is called the *matroid* on E and the function r
is called the rank function of *matroid* M…

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Mo, S. (2014). The Structure of Connectivity Functions. (Masters Thesis). Victoria University of Wellington. Retrieved from http://hdl.handle.net/10063/3426

Chicago Manual of Style (16^{th} Edition):

Mo, Songbao. “The Structure of Connectivity Functions.” 2014. Masters Thesis, Victoria University of Wellington. Accessed June 26, 2019. http://hdl.handle.net/10063/3426.

MLA Handbook (7^{th} Edition):

Mo, Songbao. “The Structure of Connectivity Functions.” 2014. Web. 26 Jun 2019.

Vancouver:

Mo S. The Structure of Connectivity Functions. [Internet] [Masters thesis]. Victoria University of Wellington; 2014. [cited 2019 Jun 26]. Available from: http://hdl.handle.net/10063/3426.

Council of Science Editors:

Mo S. The Structure of Connectivity Functions. [Masters Thesis]. Victoria University of Wellington; 2014. Available from: http://hdl.handle.net/10063/3426

University of Kentucky

30. Stokes, Erik. THE h-VECTORS OF MATROIDS AND THE ARITHMETIC DEGREE OF SQUAREFREE STRONGLY STABLE IDEALS.

Degree: 2008, University of Kentucky

URL: http://uknowledge.uky.edu/gradschool_diss/636

► Making use of algebraic and combinatorial techniques, we study two topics: the arithmetic degree of squarefree strongly stable ideals and the h-vectors of *matroid* complexes.…
(more)

Subjects/Keywords: simplicial complex; matroid; h-vector; arithmetic degree; Stanley-Reisner ideal; Mathematics

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Stokes, E. (2008). THE h-VECTORS OF MATROIDS AND THE ARITHMETIC DEGREE OF SQUAREFREE STRONGLY STABLE IDEALS. (Doctoral Dissertation). University of Kentucky. Retrieved from http://uknowledge.uky.edu/gradschool_diss/636

Chicago Manual of Style (16^{th} Edition):

Stokes, Erik. “THE h-VECTORS OF MATROIDS AND THE ARITHMETIC DEGREE OF SQUAREFREE STRONGLY STABLE IDEALS.” 2008. Doctoral Dissertation, University of Kentucky. Accessed June 26, 2019. http://uknowledge.uky.edu/gradschool_diss/636.

MLA Handbook (7^{th} Edition):

Stokes, Erik. “THE h-VECTORS OF MATROIDS AND THE ARITHMETIC DEGREE OF SQUAREFREE STRONGLY STABLE IDEALS.” 2008. Web. 26 Jun 2019.

Vancouver:

Stokes E. THE h-VECTORS OF MATROIDS AND THE ARITHMETIC DEGREE OF SQUAREFREE STRONGLY STABLE IDEALS. [Internet] [Doctoral dissertation]. University of Kentucky; 2008. [cited 2019 Jun 26]. Available from: http://uknowledge.uky.edu/gradschool_diss/636.

Council of Science Editors:

Stokes E. THE h-VECTORS OF MATROIDS AND THE ARITHMETIC DEGREE OF SQUAREFREE STRONGLY STABLE IDEALS. [Doctoral Dissertation]. University of Kentucky; 2008. Available from: http://uknowledge.uky.edu/gradschool_diss/636