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Virginia Tech

1. Beane, Maria Elizabeth. An Introduction to S(5,8,24).

Degree: MS, Mathematics, 2011, Virginia Tech

URL: http://hdl.handle.net/10919/32676

► S(5,8,24) is one of the largest known Steiner systems and connects combinatorial designs, error-correcting codes, finite simple groups, and sphere packings in a truly remarkable…
(more)

Subjects/Keywords: Steiner Systems; Error-Correcting Codes; Mathieu Groups; Sphere Packings

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APA (6^{th} Edition):

Beane, M. E. (2011). An Introduction to S(5,8,24). (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32676

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

Beane, Maria Elizabeth. “An Introduction to S(5,8,24).” 2011. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32676.

MLA Handbook (7^{th} Edition):

Beane, Maria Elizabeth. “An Introduction to S(5,8,24).” 2011. Web. 15 Jul 2020.

Vancouver:

Beane ME. An Introduction to S(5,8,24). [Internet] [Masters thesis]. Virginia Tech; 2011. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32676.

Council of Science Editors:

Beane ME. An Introduction to S(5,8,24). [Masters Thesis]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/32676

Virginia Tech

2. Brinsfield, Joshua Sol. The Factoradic Integers.

Degree: MS, Mathematics, 2016, Virginia Tech

URL: http://hdl.handle.net/10919/71451

► The arithmetic progressions under addition and composition satisfy the usual rules of arithmetic with a modified distributive law. The basic algebra of such mathematical structures…
(more)

Subjects/Keywords: Distributive Law; Arithmetic Progression; P-adic Number; Factorial

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APA (6^{th} Edition):

Brinsfield, J. S. (2016). The Factoradic Integers. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/71451

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

Brinsfield, Joshua Sol. “The Factoradic Integers.” 2016. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/71451.

MLA Handbook (7^{th} Edition):

Brinsfield, Joshua Sol. “The Factoradic Integers.” 2016. Web. 15 Jul 2020.

Vancouver:

Brinsfield JS. The Factoradic Integers. [Internet] [Masters thesis]. Virginia Tech; 2016. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/71451.

Council of Science Editors:

Brinsfield JS. The Factoradic Integers. [Masters Thesis]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/71451

Virginia Tech

3. Kim, Daniel Min. Nearly Euclidean Thurston Maps and the Halfspace Theorem.

Degree: MS, Mathematics, 2016, Virginia Tech

URL: http://hdl.handle.net/10919/73446

► A Thurston map whose postcritical set consists of exactly four points and for which the local degree at each of its critical points is 2…
(more)

Subjects/Keywords: Nearly Euclidean Thurston maps; half-space theorem

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APA (6^{th} Edition):

Kim, D. M. (2016). Nearly Euclidean Thurston Maps and the Halfspace Theorem. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/73446

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

Kim, Daniel Min. “Nearly Euclidean Thurston Maps and the Halfspace Theorem.” 2016. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/73446.

MLA Handbook (7^{th} Edition):

Kim, Daniel Min. “Nearly Euclidean Thurston Maps and the Halfspace Theorem.” 2016. Web. 15 Jul 2020.

Vancouver:

Kim DM. Nearly Euclidean Thurston Maps and the Halfspace Theorem. [Internet] [Masters thesis]. Virginia Tech; 2016. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/73446.

Council of Science Editors:

Kim DM. Nearly Euclidean Thurston Maps and the Halfspace Theorem. [Masters Thesis]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/73446

Virginia Tech

4. Wessels, Mariette Christine. A Grid-Based Approximation Algorithm for the Minimum Weight Triangulation Problem.

Degree: MS, Mathematics, 2017, Virginia Tech

URL: http://hdl.handle.net/10919/77933

► Given a set of n points on a plane, in the Minimum Weight Triangulation problem, we wish to find a triangulation that minimizes the sum…
(more)

Subjects/Keywords: Minimum Weight Triangulation; Approximation Algorithm; Geometric Optimization

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APA (6^{th} Edition):

Wessels, M. C. (2017). A Grid-Based Approximation Algorithm for the Minimum Weight Triangulation Problem. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77933

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

Wessels, Mariette Christine. “A Grid-Based Approximation Algorithm for the Minimum Weight Triangulation Problem.” 2017. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/77933.

MLA Handbook (7^{th} Edition):

Wessels, Mariette Christine. “A Grid-Based Approximation Algorithm for the Minimum Weight Triangulation Problem.” 2017. Web. 15 Jul 2020.

Vancouver:

Wessels MC. A Grid-Based Approximation Algorithm for the Minimum Weight Triangulation Problem. [Internet] [Masters thesis]. Virginia Tech; 2017. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/77933.

Council of Science Editors:

Wessels MC. A Grid-Based Approximation Algorithm for the Minimum Weight Triangulation Problem. [Masters Thesis]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/77933

Virginia Tech

5. Shifler, Ryan M. Computational Algebraic Geometry Applied to Invariant Theory.

Degree: MS, Mathematics, 2013, Virginia Tech

URL: http://hdl.handle.net/10919/23154

► Commutative algebra finds its roots in invariant theory and the connection is drawn from a modern standpoint. The Hilbert Basis Theorem and the Nullstellenstatz were…
(more)

Subjects/Keywords: Groebner Basis; Invariant Theory; Algorithm

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APA (6^{th} Edition):

Shifler, R. M. (2013). Computational Algebraic Geometry Applied to Invariant Theory. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/23154

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

Shifler, Ryan M. “Computational Algebraic Geometry Applied to Invariant Theory.” 2013. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/23154.

MLA Handbook (7^{th} Edition):

Shifler, Ryan M. “Computational Algebraic Geometry Applied to Invariant Theory.” 2013. Web. 15 Jul 2020.

Vancouver:

Shifler RM. Computational Algebraic Geometry Applied to Invariant Theory. [Internet] [Masters thesis]. Virginia Tech; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/23154.

Council of Science Editors:

Shifler RM. Computational Algebraic Geometry Applied to Invariant Theory. [Masters Thesis]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/23154

Virginia Tech

6. Withrow, Camron Michael. Left Orderable Residually Finite p-groups.

Degree: MS, Mathematics, 2014, Virginia Tech

URL: http://hdl.handle.net/10919/24782

► Let p and q be distinct primes, and G an elementary amenable group that is a residually finite p-group and a residually finite q-group. We…
(more)

Subjects/Keywords: left orderable group; residually finite p-group

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APA (6^{th} Edition):

Withrow, C. M. (2014). Left Orderable Residually Finite p-groups. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/24782

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

Withrow, Camron Michael. “Left Orderable Residually Finite p-groups.” 2014. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/24782.

MLA Handbook (7^{th} Edition):

Withrow, Camron Michael. “Left Orderable Residually Finite p-groups.” 2014. Web. 15 Jul 2020.

Vancouver:

Withrow CM. Left Orderable Residually Finite p-groups. [Internet] [Masters thesis]. Virginia Tech; 2014. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/24782.

Council of Science Editors:

Withrow CM. Left Orderable Residually Finite p-groups. [Masters Thesis]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/24782

Virginia Tech

7. Wills, Andrew Johan. Topics in Inverse Galois Theory.

Degree: MS, Mathematics, 2011, Virginia Tech

URL: http://hdl.handle.net/10919/32160

► Galois theory, the study of the structure and symmetry of a polynomial or associated field extension, is a standard tool for showing the insolvability of…
(more)

Subjects/Keywords: Kronecker-Weber Theorem; Rigid Groups; Inverse Galois Theory

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APA (6^{th} Edition):

Wills, A. J. (2011). Topics in Inverse Galois Theory. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32160

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

Wills, Andrew Johan. “Topics in Inverse Galois Theory.” 2011. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32160.

MLA Handbook (7^{th} Edition):

Wills, Andrew Johan. “Topics in Inverse Galois Theory.” 2011. Web. 15 Jul 2020.

Vancouver:

Wills AJ. Topics in Inverse Galois Theory. [Internet] [Masters thesis]. Virginia Tech; 2011. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32160.

Council of Science Editors:

Wills AJ. Topics in Inverse Galois Theory. [Masters Thesis]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/32160

Virginia Tech

8. Karcher, Kelli Marie. The Space of Left Orders on a Group.

Degree: MS, Mathematics, 2011, Virginia Tech

URL: http://hdl.handle.net/10919/42700

► The study of orderable groups is a topic that is all too often overlooked as a topic in algebra. The subject of orderable groups is…
(more)

Subjects/Keywords: Heisenberg group; left orderable groups

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APA (6^{th} Edition):

Karcher, K. M. (2011). The Space of Left Orders on a Group. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/42700

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

Karcher, Kelli Marie. “The Space of Left Orders on a Group.” 2011. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/42700.

MLA Handbook (7^{th} Edition):

Karcher, Kelli Marie. “The Space of Left Orders on a Group.” 2011. Web. 15 Jul 2020.

Vancouver:

Karcher KM. The Space of Left Orders on a Group. [Internet] [Masters thesis]. Virginia Tech; 2011. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/42700.

Council of Science Editors:

Karcher KM. The Space of Left Orders on a Group. [Masters Thesis]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/42700

9. Farhangi, Sohail. On Refinements of Van der Waerden's Theorem.

Degree: MS, Mathematics, 2016, Virginia Tech

URL: http://hdl.handle.net/10919/73355

We examine different methods of generalize Van der Waerden's Theorem, the Multidimensional Van der Waerden Theorem, the Canonical Van der Waerden Theorem, and other Variants.
*Advisors/Committee Members: Brown, Ezra A. (committeechair), Mihalcea, Constantin Leonardo (committee member), Floyd, William J. (committee member).*

Subjects/Keywords: Van der Waerdens Theorem; Arithmetic Progression; Ramsey Theory; Partition Regularity; Canonical Ramsey Theory

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APA (6^{th} Edition):

Farhangi, S. (2016). On Refinements of Van der Waerden's Theorem. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/73355

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

Farhangi, Sohail. “On Refinements of Van der Waerden's Theorem.” 2016. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/73355.

MLA Handbook (7^{th} Edition):

Farhangi, Sohail. “On Refinements of Van der Waerden's Theorem.” 2016. Web. 15 Jul 2020.

Vancouver:

Farhangi S. On Refinements of Van der Waerden's Theorem. [Internet] [Masters thesis]. Virginia Tech; 2016. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/73355.

Council of Science Editors:

Farhangi S. On Refinements of Van der Waerden's Theorem. [Masters Thesis]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/73355

Virginia Tech

10. Wills, Andrew Johan. Abacus-Tournament Models of Hall-Littlewood Polynomials.

Degree: PhD, Mathematics, 2016, Virginia Tech

URL: http://hdl.handle.net/10919/64427

► In this dissertation, we introduce combinatorial interpretations for three types of HallLittlewood polynomials (denoted Rλ, Pλ, and Qλ) by using weighted combinatorial objects called abacus-tournaments.…
(more)

Subjects/Keywords: Symmetric polynomials; Hall-Littlewood polynomials; abacus-tournaments; Pieri rules

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APA (6^{th} Edition):

Wills, A. J. (2016). Abacus-Tournament Models of Hall-Littlewood Polynomials. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/64427

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

Wills, Andrew Johan. “Abacus-Tournament Models of Hall-Littlewood Polynomials.” 2016. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/64427.

MLA Handbook (7^{th} Edition):

Wills, Andrew Johan. “Abacus-Tournament Models of Hall-Littlewood Polynomials.” 2016. Web. 15 Jul 2020.

Vancouver:

Wills AJ. Abacus-Tournament Models of Hall-Littlewood Polynomials. [Internet] [Doctoral dissertation]. Virginia Tech; 2016. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/64427.

Council of Science Editors:

Wills AJ. Abacus-Tournament Models of Hall-Littlewood Polynomials. [Doctoral Dissertation]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/64427

Virginia Tech

11. Dickson, James Odziemiec. An Introduction to Ramsey Theory on Graphs.

Degree: MS, Mathematics, 2011, Virginia Tech

URL: http://hdl.handle.net/10919/32873

This thesis is written as a single source introduction to Ramsey Theory for advanced undergraduates and graduate students.
*Advisors/Committee Members: Brown, Ezra A. (committeechair), Klaus, Martin (committee member), Loehr, Nicholas A. (committee member), Shimozono, Mark M. (committee member).*

Subjects/Keywords: Combinatorics; Graph Theory; Ramsey Theory

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APA (6^{th} Edition):

Dickson, J. O. (2011). An Introduction to Ramsey Theory on Graphs. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32873

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

Dickson, James Odziemiec. “An Introduction to Ramsey Theory on Graphs.” 2011. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32873.

MLA Handbook (7^{th} Edition):

Dickson, James Odziemiec. “An Introduction to Ramsey Theory on Graphs.” 2011. Web. 15 Jul 2020.

Vancouver:

Dickson JO. An Introduction to Ramsey Theory on Graphs. [Internet] [Masters thesis]. Virginia Tech; 2011. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32873.

Council of Science Editors:

Dickson JO. An Introduction to Ramsey Theory on Graphs. [Masters Thesis]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/32873

Virginia Tech

12. Niese, Elizabeth M. Combinatorial Properties of the Hilbert Series of Macdonald Polynomials.

Degree: PhD, Mathematics, 2010, Virginia Tech

URL: http://hdl.handle.net/10919/26702

► The original Macdonald polynomials P_μ form a basis for the vector space of symmetric functions which specializes to several of the common bases such as…
(more)

Subjects/Keywords: permutation statistics; tableaux; symmetric functions; Macdonald polynomials

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APA (6^{th} Edition):

Niese, E. M. (2010). Combinatorial Properties of the Hilbert Series of Macdonald Polynomials. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26702

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

Niese, Elizabeth M. “Combinatorial Properties of the Hilbert Series of Macdonald Polynomials.” 2010. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/26702.

MLA Handbook (7^{th} Edition):

Niese, Elizabeth M. “Combinatorial Properties of the Hilbert Series of Macdonald Polynomials.” 2010. Web. 15 Jul 2020.

Vancouver:

Niese EM. Combinatorial Properties of the Hilbert Series of Macdonald Polynomials. [Internet] [Doctoral dissertation]. Virginia Tech; 2010. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/26702.

Council of Science Editors:

Niese EM. Combinatorial Properties of the Hilbert Series of Macdonald Polynomials. [Doctoral Dissertation]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/26702

Virginia Tech

13. Brunson, Jason Cory. Matrix Schubert varieties for the affine Grassmannian.

Degree: PhD, Mathematics, 2014, Virginia Tech

URL: http://hdl.handle.net/10919/25286

► Schubert calculus has become an indispensable tool for enumerative geometry. It concerns the multiplication of Schubert classes in the cohomology of flag varieties, and is…
(more)

Subjects/Keywords: Schubert polynomials; affine Grassmannian; matrix Schubert varieties

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APA (6^{th} Edition):

Brunson, J. C. (2014). Matrix Schubert varieties for the affine Grassmannian. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/25286

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

Brunson, Jason Cory. “Matrix Schubert varieties for the affine Grassmannian.” 2014. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/25286.

MLA Handbook (7^{th} Edition):

Brunson, Jason Cory. “Matrix Schubert varieties for the affine Grassmannian.” 2014. Web. 15 Jul 2020.

Vancouver:

Brunson JC. Matrix Schubert varieties for the affine Grassmannian. [Internet] [Doctoral dissertation]. Virginia Tech; 2014. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/25286.

Council of Science Editors:

Brunson JC. Matrix Schubert varieties for the affine Grassmannian. [Doctoral Dissertation]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/25286

14. Lewis, Zachary Evan. A Study of Modifications to Quantum Mechanics.

Degree: PhD, Physics, 2013, Virginia Tech

URL: http://hdl.handle.net/10919/19277

► In this work, the consequences of several modifications to quantum mechanics are examined. These modifications, motivated by string theory, fall into two categories: ones in…
(more)

Subjects/Keywords: Physics; Quantum Mechanics; Foundations of Quantum Mechanics

…compilation and exposition
of the work carried out by an informal theory group at *Virginia* *Tech*, of…

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APA (6^{th} Edition):

Lewis, Z. E. (2013). A Study of Modifications to Quantum Mechanics. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/19277

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

Lewis, Zachary Evan. “A Study of Modifications to Quantum Mechanics.” 2013. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/19277.

MLA Handbook (7^{th} Edition):

Lewis, Zachary Evan. “A Study of Modifications to Quantum Mechanics.” 2013. Web. 15 Jul 2020.

Vancouver:

Lewis ZE. A Study of Modifications to Quantum Mechanics. [Internet] [Doctoral dissertation]. Virginia Tech; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/19277.

Council of Science Editors:

Lewis ZE. A Study of Modifications to Quantum Mechanics. [Doctoral Dissertation]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/19277

15. Welch, Amanda Renee. Characterizing Zero Divisors of Group Rings.

Degree: MS, Mathematics, 2015, Virginia Tech

URL: http://hdl.handle.net/10919/52949

► The Atiyah Conjecture originates from a paper written 40 years ago by Sir Michael Atiyah, a famous mathematician and Fields medalist. Since publication of the…
(more)

Subjects/Keywords: Prufer Group; zero divisors; group rings; p-groups

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APA (6^{th} Edition):

Welch, A. R. (2015). Characterizing Zero Divisors of Group Rings. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/52949

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

Welch, Amanda Renee. “Characterizing Zero Divisors of Group Rings.” 2015. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/52949.

MLA Handbook (7^{th} Edition):

Welch, Amanda Renee. “Characterizing Zero Divisors of Group Rings.” 2015. Web. 15 Jul 2020.

Vancouver:

Welch AR. Characterizing Zero Divisors of Group Rings. [Internet] [Masters thesis]. Virginia Tech; 2015. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/52949.

Council of Science Editors:

Welch AR. Characterizing Zero Divisors of Group Rings. [Masters Thesis]. Virginia Tech; 2015. Available from: http://hdl.handle.net/10919/52949

Virginia Tech

16. Guo, Xu. Secure and Efficient Implementations of Cryptographic Primitives.

Degree: PhD, Electrical and Computer Engineering, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/27702

► Nowadays pervasive computing opens up many new challenges. Personal and sensitive data and computations are distributed over a wide range of computing devices. This presents…
(more)

Subjects/Keywords: Block Cipher; Side-Channel Attacks; SHA-3; Hash Function; System-on-Chip; Cryptographic Coprocessor; Elliptic Curve Cryptography; Fault Attacks

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APA (6^{th} Edition):

Guo, X. (2012). Secure and Efficient Implementations of Cryptographic Primitives. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/27702

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

Guo, Xu. “Secure and Efficient Implementations of Cryptographic Primitives.” 2012. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/27702.

MLA Handbook (7^{th} Edition):

Guo, Xu. “Secure and Efficient Implementations of Cryptographic Primitives.” 2012. Web. 15 Jul 2020.

Vancouver:

Guo X. Secure and Efficient Implementations of Cryptographic Primitives. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/27702.

Council of Science Editors:

Guo X. Secure and Efficient Implementations of Cryptographic Primitives. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/27702

Virginia Tech

17. Cone, Randall Edward. Finite Generation of Ext-Algebras for Monomial Algebras.

Degree: PhD, Mathematics, 2010, Virginia Tech

URL: http://hdl.handle.net/10919/29865

► The use of graphs in algebraic studies is ubiquitous, whether the graphs be finite or infinite, directed or undirected. Green and Zacharia have characterized finite…
(more)

Subjects/Keywords: finite generation; cohomology; monomial algebras

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APA (6^{th} Edition):

Cone, R. E. (2010). Finite Generation of Ext-Algebras for Monomial Algebras. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/29865

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

Cone, Randall Edward. “Finite Generation of Ext-Algebras for Monomial Algebras.” 2010. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/29865.

MLA Handbook (7^{th} Edition):

Cone, Randall Edward. “Finite Generation of Ext-Algebras for Monomial Algebras.” 2010. Web. 15 Jul 2020.

Vancouver:

Cone RE. Finite Generation of Ext-Algebras for Monomial Algebras. [Internet] [Doctoral dissertation]. Virginia Tech; 2010. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/29865.

Council of Science Editors:

Cone RE. Finite Generation of Ext-Algebras for Monomial Algebras. [Doctoral Dissertation]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/29865

Virginia Tech

18. Graf, Jonathan Peter. Optimizing Programmable Logic Design Security Strategies.

Degree: PhD, Electrical and Computer Engineering, 2019, Virginia Tech

URL: http://hdl.handle.net/10919/89920

► A wide variety of design security strategies have been developed for programmable logic devices, but less work has been done to determine which are optimal…
(more)

Subjects/Keywords: FPGA; trust; design security; design integrity; design confidentiality; trustworthy computing; game theory

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APA (6^{th} Edition):

Graf, J. P. (2019). Optimizing Programmable Logic Design Security Strategies. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/89920

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

Graf, Jonathan Peter. “Optimizing Programmable Logic Design Security Strategies.” 2019. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/89920.

MLA Handbook (7^{th} Edition):

Graf, Jonathan Peter. “Optimizing Programmable Logic Design Security Strategies.” 2019. Web. 15 Jul 2020.

Vancouver:

Graf JP. Optimizing Programmable Logic Design Security Strategies. [Internet] [Doctoral dissertation]. Virginia Tech; 2019. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/89920.

Council of Science Editors:

Graf JP. Optimizing Programmable Logic Design Security Strategies. [Doctoral Dissertation]. Virginia Tech; 2019. Available from: http://hdl.handle.net/10919/89920

19. Tanwir, Sarmad. Online Techniques for Enhancing the Diagnosis of Digital Circuits.

Degree: PhD, Electrical and Computer Engineering, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/82736

► The test process for semiconductor devices involves generation and application of test patterns, failure logging and diagnosis. Traditionally, most of these activities cater for all…
(more)

Subjects/Keywords: Diagnosis; Digital Circuits; Online; Diagnostic Test Pattern Generation; Real-time; Failure Log Optimization; Failure Log Selection; Particle Swarm Optimization

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

APA (6^{th} Edition):

Tanwir, S. (2018). Online Techniques for Enhancing the Diagnosis of Digital Circuits. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/82736

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

Tanwir, Sarmad. “Online Techniques for Enhancing the Diagnosis of Digital Circuits.” 2018. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/82736.

MLA Handbook (7^{th} Edition):

Tanwir, Sarmad. “Online Techniques for Enhancing the Diagnosis of Digital Circuits.” 2018. Web. 15 Jul 2020.

Vancouver:

Tanwir S. Online Techniques for Enhancing the Diagnosis of Digital Circuits. [Internet] [Doctoral dissertation]. Virginia Tech; 2018. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/82736.

Council of Science Editors:

Tanwir S. Online Techniques for Enhancing the Diagnosis of Digital Circuits. [Doctoral Dissertation]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/82736

Virginia Tech

20. Ackermann, Robert James. Constructing Bitwisted Face Pairing 3-Manifolds.

Degree: MS, Mathematics, 2008, Virginia Tech

URL: http://hdl.handle.net/10919/32655

► The bitwist construction, originally discovered by Cannon, Floyd, and Parry, gives us a new method for finding face pairing descriptions of 3-manifolds. In this paper,…
(more)

Subjects/Keywords: Bitwisted 3-manifolds; Twisted 3-manifolds; Dehn Surgery; face pairings

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

APA (6^{th} Edition):

Ackermann, R. J. (2008). Constructing Bitwisted Face Pairing 3-Manifolds. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32655

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

Ackermann, Robert James. “Constructing Bitwisted Face Pairing 3-Manifolds.” 2008. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32655.

MLA Handbook (7^{th} Edition):

Ackermann, Robert James. “Constructing Bitwisted Face Pairing 3-Manifolds.” 2008. Web. 15 Jul 2020.

Vancouver:

Ackermann RJ. Constructing Bitwisted Face Pairing 3-Manifolds. [Internet] [Masters thesis]. Virginia Tech; 2008. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32655.

Council of Science Editors:

Ackermann RJ. Constructing Bitwisted Face Pairing 3-Manifolds. [Masters Thesis]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/32655

Virginia Tech

21. Landquist, Eric Jon. On Nonassociative Division Rings and Projective Planes.

Degree: MS, Mathematics, 2000, Virginia Tech

URL: http://hdl.handle.net/10919/32937

► An interesting thing happens when one begins with the axioms of a field, but does not require the associative and commutative properties. The resulting nonassociative…
(more)

Subjects/Keywords: division rings; semifields; projective planes; nonassociative

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APA (6^{th} Edition):

Landquist, E. J. (2000). On Nonassociative Division Rings and Projective Planes. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32937

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

Landquist, Eric Jon. “On Nonassociative Division Rings and Projective Planes.” 2000. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32937.

MLA Handbook (7^{th} Edition):

Landquist, Eric Jon. “On Nonassociative Division Rings and Projective Planes.” 2000. Web. 15 Jul 2020.

Vancouver:

Landquist EJ. On Nonassociative Division Rings and Projective Planes. [Internet] [Masters thesis]. Virginia Tech; 2000. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32937.

Council of Science Editors:

Landquist EJ. On Nonassociative Division Rings and Projective Planes. [Masters Thesis]. Virginia Tech; 2000. Available from: http://hdl.handle.net/10919/32937

Virginia Tech

22. Koneni, Madhu. Key Management Techniques for Dynamic Secure Multicasting.

Degree: MS, Computer Science, 2003, Virginia Tech

URL: http://hdl.handle.net/10919/33061

► Most of the Internet applications today require multicasting. For example, software updates, multimedia content distribution, interacting gaming and stock data distribution require multicast services. All…
(more)

Subjects/Keywords: Key Management; Dynamic Secure Multicasting; Chinese Remainder Theorem

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APA (6^{th} Edition):

Koneni, M. (2003). Key Management Techniques for Dynamic Secure Multicasting. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/33061

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

Koneni, Madhu. “Key Management Techniques for Dynamic Secure Multicasting.” 2003. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/33061.

MLA Handbook (7^{th} Edition):

Koneni, Madhu. “Key Management Techniques for Dynamic Secure Multicasting.” 2003. Web. 15 Jul 2020.

Vancouver:

Koneni M. Key Management Techniques for Dynamic Secure Multicasting. [Internet] [Masters thesis]. Virginia Tech; 2003. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/33061.

Council of Science Editors:

Koneni M. Key Management Techniques for Dynamic Secure Multicasting. [Masters Thesis]. Virginia Tech; 2003. Available from: http://hdl.handle.net/10919/33061

Virginia Tech

23. Baber, Courtney Leigh. An Introduction to List Colorings of Graphs.

Degree: MS, Mathematics, 2009, Virginia Tech

URL: http://hdl.handle.net/10919/33484

► One of the most popular and useful areas of graph theory is graph colorings. A graph coloring is an assignment of integers to the vertices…
(more)

Subjects/Keywords: channel assignment problem; list coloring; graph

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APA (6^{th} Edition):

Baber, C. L. (2009). An Introduction to List Colorings of Graphs. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/33484

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

Baber, Courtney Leigh. “An Introduction to List Colorings of Graphs.” 2009. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/33484.

MLA Handbook (7^{th} Edition):

Baber, Courtney Leigh. “An Introduction to List Colorings of Graphs.” 2009. Web. 15 Jul 2020.

Vancouver:

Baber CL. An Introduction to List Colorings of Graphs. [Internet] [Masters thesis]. Virginia Tech; 2009. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/33484.

Council of Science Editors:

Baber CL. An Introduction to List Colorings of Graphs. [Masters Thesis]. Virginia Tech; 2009. Available from: http://hdl.handle.net/10919/33484

Virginia Tech

24. Briggs, Matthew Edward. An Introduction to the General Number Field Sieve.

Degree: MS, Mathematics, 1998, Virginia Tech

URL: http://hdl.handle.net/10919/36618

► With the proliferation of computers into homes and businesses and the explosive growth rate of the Internet, the ability to conduct secure electronic communications and…
(more)

Subjects/Keywords: Number Field Sieve; Factoring; Cryptography; Algebraic Number Theory

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

APA (6^{th} Edition):

Briggs, M. E. (1998). An Introduction to the General Number Field Sieve. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/36618

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

Briggs, Matthew Edward. “An Introduction to the General Number Field Sieve.” 1998. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/36618.

MLA Handbook (7^{th} Edition):

Briggs, Matthew Edward. “An Introduction to the General Number Field Sieve.” 1998. Web. 15 Jul 2020.

Vancouver:

Briggs ME. An Introduction to the General Number Field Sieve. [Internet] [Masters thesis]. Virginia Tech; 1998. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/36618.

Council of Science Editors:

Briggs ME. An Introduction to the General Number Field Sieve. [Masters Thesis]. Virginia Tech; 1998. Available from: http://hdl.handle.net/10919/36618

Virginia Tech

25. Potanka, Karen Sue. Groups, Graphs, and Symmetry-Breaking.

Degree: MS, Mathematics, 1998, Virginia Tech

URL: http://hdl.handle.net/10919/36630

► A labeling of a graph G is said to be r-distinguishing if no automorphism of G preserves all of the vertex labels. The smallest such…
(more)

Subjects/Keywords: Petersen Graph; Symmetry-Breaking; Graph Theory

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APA (6^{th} Edition):

Potanka, K. S. (1998). Groups, Graphs, and Symmetry-Breaking. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/36630

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

Potanka, Karen Sue. “Groups, Graphs, and Symmetry-Breaking.” 1998. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/36630.

MLA Handbook (7^{th} Edition):

Potanka, Karen Sue. “Groups, Graphs, and Symmetry-Breaking.” 1998. Web. 15 Jul 2020.

Vancouver:

Potanka KS. Groups, Graphs, and Symmetry-Breaking. [Internet] [Masters thesis]. Virginia Tech; 1998. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/36630.

Council of Science Editors:

Potanka KS. Groups, Graphs, and Symmetry-Breaking. [Masters Thesis]. Virginia Tech; 1998. Available from: http://hdl.handle.net/10919/36630

Virginia Tech

26. Winett, Sheila G. FOCES: An experimental expert system to select appropriate foster care homes for children.

Degree: MS, Computer Science, 1987, Virginia Tech

URL: http://hdl.handle.net/10919/80055

► The FOster Care Expert System (FOCES) was developed to provide advice to social workers of the Roanoke City Department of Social Services who must select…
(more)

Subjects/Keywords: LD5655.V855 1987.W561; Expert systems (Computer science); Artificial intelligence – Computer programs; Foster home care

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

APA (6^{th} Edition):

Winett, S. G. (1987). FOCES: An experimental expert system to select appropriate foster care homes for children. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/80055

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

Winett, Sheila G. “FOCES: An experimental expert system to select appropriate foster care homes for children.” 1987. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/80055.

MLA Handbook (7^{th} Edition):

Winett, Sheila G. “FOCES: An experimental expert system to select appropriate foster care homes for children.” 1987. Web. 15 Jul 2020.

Vancouver:

Winett SG. FOCES: An experimental expert system to select appropriate foster care homes for children. [Internet] [Masters thesis]. Virginia Tech; 1987. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/80055.

Council of Science Editors:

Winett SG. FOCES: An experimental expert system to select appropriate foster care homes for children. [Masters Thesis]. Virginia Tech; 1987. Available from: http://hdl.handle.net/10919/80055

Virginia Tech

27. Ison, Molly Elizabeth. Two Aspects of Topology in Graph Configuration Spaces.

Degree: MS, Mathematics, 2005, Virginia Tech

URL: http://hdl.handle.net/10919/29214

► A graph configuration space is generated by the movement of a finite number of robots on a graph. These configuration spaces of points in a…
(more)

Subjects/Keywords: fundamental group; pseudomanifold with boundary; manifold; braid group; graph; configuration space

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APA (6^{th} Edition):

Ison, M. E. (2005). Two Aspects of Topology in Graph Configuration Spaces. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/29214

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

Ison, Molly Elizabeth. “Two Aspects of Topology in Graph Configuration Spaces.” 2005. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/29214.

MLA Handbook (7^{th} Edition):

Ison, Molly Elizabeth. “Two Aspects of Topology in Graph Configuration Spaces.” 2005. Web. 15 Jul 2020.

Vancouver:

Ison ME. Two Aspects of Topology in Graph Configuration Spaces. [Internet] [Masters thesis]. Virginia Tech; 2005. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/29214.

Council of Science Editors:

Ison ME. Two Aspects of Topology in Graph Configuration Spaces. [Masters Thesis]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/29214

Virginia Tech

28. Brunson, Jason Cornelius. On Projective Planes & Rational Identities.

Degree: MS, Mathematics, 2005, Virginia Tech

URL: http://hdl.handle.net/10919/32498

► One of the marvelous phenomena of coordinate geometry is the equivalence of Desargues' Theorem to the presence of an underlying division ring in a projective…
(more)

Subjects/Keywords: rational identity; intersection theorem; projective plane

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APA (6^{th} Edition):

Brunson, J. C. (2005). On Projective Planes & Rational Identities. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32498

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

Brunson, Jason Cornelius. “On Projective Planes & Rational Identities.” 2005. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32498.

MLA Handbook (7^{th} Edition):

Brunson, Jason Cornelius. “On Projective Planes & Rational Identities.” 2005. Web. 15 Jul 2020.

Vancouver:

Brunson JC. On Projective Planes & Rational Identities. [Internet] [Masters thesis]. Virginia Tech; 2005. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32498.

Council of Science Editors:

Brunson JC. On Projective Planes & Rational Identities. [Masters Thesis]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/32498

Virginia Tech

29. Owens, Clifford Conley. Mining Truth Tables and Straddling Biclusters in Binary Datasets.

Degree: MS, Computer Science, 2009, Virginia Tech

URL: http://hdl.handle.net/10919/35745

► As the world swims deeper into a deluge of data, binary datasets relating objects to properties can be found in many different fields. Such datasets…
(more)

Subjects/Keywords: data mining; binary datasets

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

APA (6^{th} Edition):

Owens, C. C. (2009). Mining Truth Tables and Straddling Biclusters in Binary Datasets. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/35745

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

Owens, Clifford Conley. “Mining Truth Tables and Straddling Biclusters in Binary Datasets.” 2009. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/35745.

MLA Handbook (7^{th} Edition):

Owens, Clifford Conley. “Mining Truth Tables and Straddling Biclusters in Binary Datasets.” 2009. Web. 15 Jul 2020.

Vancouver:

Owens CC. Mining Truth Tables and Straddling Biclusters in Binary Datasets. [Internet] [Masters thesis]. Virginia Tech; 2009. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/35745.

Council of Science Editors:

Owens CC. Mining Truth Tables and Straddling Biclusters in Binary Datasets. [Masters Thesis]. Virginia Tech; 2009. Available from: http://hdl.handle.net/10919/35745

Virginia Tech

30. Miller, Nicole Renee. The Structure of the Class Group of Imaginary Quadratic Fields.

Degree: MS, Mathematics, 2005, Virginia Tech

URL: http://hdl.handle.net/10919/32572

► Let Q(√{-d}) be an imaginary quadratic field with discriminant Δ. We use the isomorphism between the ideal class groups of the field and the equivalence…
(more)

Subjects/Keywords: 7-rank; 5-rank; Positive Definite Forms; Genera; Class Group; Binary Quadratic Fields

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

APA (6^{th} Edition):

Miller, N. R. (2005). The Structure of the Class Group of Imaginary Quadratic Fields. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32572

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

Miller, Nicole Renee. “The Structure of the Class Group of Imaginary Quadratic Fields.” 2005. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32572.

MLA Handbook (7^{th} Edition):

Miller, Nicole Renee. “The Structure of the Class Group of Imaginary Quadratic Fields.” 2005. Web. 15 Jul 2020.

Vancouver:

Miller NR. The Structure of the Class Group of Imaginary Quadratic Fields. [Internet] [Masters thesis]. Virginia Tech; 2005. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32572.

Council of Science Editors:

Miller NR. The Structure of the Class Group of Imaginary Quadratic Fields. [Masters Thesis]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/32572