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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 October 30, 2020. http://hdl.handle.net/10919/32676.

MLA Handbook (7^{th} Edition):

Beane, Maria Elizabeth. “An Introduction to S(5,8,24).” 2011. Web. 30 Oct 2020.

Vancouver:

Beane ME. An Introduction to S(5,8,24). [Internet] [Masters thesis]. Virginia Tech; 2011. [cited 2020 Oct 30]. 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. Quinlan, Isis Angelina Marie. Miki Images of Quantum Toroidal Algebra Generators in the Shuffle Algebra.

Degree: MS, Mathematics, 2020, Virginia Tech

URL: http://hdl.handle.net/10919/98753

► Computing is hard, even for computers. The fewer computations we have to do, the more time we can save to do more math. This paper…
(more)

Subjects/Keywords: Algebra

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APA (6^{th} Edition):

Quinlan, I. A. M. (2020). Miki Images of Quantum Toroidal Algebra Generators in the Shuffle Algebra. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/98753

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

Quinlan, Isis Angelina Marie. “Miki Images of Quantum Toroidal Algebra Generators in the Shuffle Algebra.” 2020. Masters Thesis, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/98753.

MLA Handbook (7^{th} Edition):

Quinlan, Isis Angelina Marie. “Miki Images of Quantum Toroidal Algebra Generators in the Shuffle Algebra.” 2020. Web. 30 Oct 2020.

Vancouver:

Quinlan IAM. Miki Images of Quantum Toroidal Algebra Generators in the Shuffle Algebra. [Internet] [Masters thesis]. Virginia Tech; 2020. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/98753.

Council of Science Editors:

Quinlan IAM. Miki Images of Quantum Toroidal Algebra Generators in the Shuffle Algebra. [Masters Thesis]. Virginia Tech; 2020. Available from: http://hdl.handle.net/10919/98753

Virginia Tech

3. Shaplin, Richard Martin III. Spherical Elements in the Affine Yokonuma-Hecke Algebra.

Degree: MS, Mathematics, 2020, Virginia Tech

URL: http://hdl.handle.net/10919/99307

► The Yokonuma-Hecke Algebra-module is a vector space over a particular field. Acting on vectors from the module by any element of the Yokonuma-Hecke Algebra corresponds…
(more)

Subjects/Keywords: Affine Yokonuma–Hecke Algebras; Spherical Elements

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APA (6^{th} Edition):

Shaplin, R. M. I. (2020). Spherical Elements in the Affine Yokonuma-Hecke Algebra. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/99307

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

Shaplin, Richard Martin III. “Spherical Elements in the Affine Yokonuma-Hecke Algebra.” 2020. Masters Thesis, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/99307.

MLA Handbook (7^{th} Edition):

Shaplin, Richard Martin III. “Spherical Elements in the Affine Yokonuma-Hecke Algebra.” 2020. Web. 30 Oct 2020.

Vancouver:

Shaplin RMI. Spherical Elements in the Affine Yokonuma-Hecke Algebra. [Internet] [Masters thesis]. Virginia Tech; 2020. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/99307.

Council of Science Editors:

Shaplin RMI. Spherical Elements in the Affine Yokonuma-Hecke Algebra. [Masters Thesis]. Virginia Tech; 2020. Available from: http://hdl.handle.net/10919/99307

4. Goodberry, Benjamin Nathaniel. Multiparameter BCn-Kostka-Foulkes Polynomials.

Degree: MS, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/83576

► The Kostka-Foulkes polynomials describe the change of basis between Schur polynomials and Hall-Littlewood polynomials. In this paper, we extend this idea to the family of…
(more)

Subjects/Keywords: Hall-Littlewood Polynomials; Kostka-Foulkes Polynomials; Algebraic Combinatorics

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APA (6^{th} Edition):

Goodberry, B. N. (2018). Multiparameter BCn-Kostka-Foulkes Polynomials. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/83576

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

Goodberry, Benjamin Nathaniel. “Multiparameter BCn-Kostka-Foulkes Polynomials.” 2018. Masters Thesis, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/83576.

MLA Handbook (7^{th} Edition):

Goodberry, Benjamin Nathaniel. “Multiparameter BCn-Kostka-Foulkes Polynomials.” 2018. Web. 30 Oct 2020.

Vancouver:

Goodberry BN. Multiparameter BCn-Kostka-Foulkes Polynomials. [Internet] [Masters thesis]. Virginia Tech; 2018. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/83576.

Council of Science Editors:

Goodberry BN. Multiparameter BCn-Kostka-Foulkes Polynomials. [Masters Thesis]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/83576

5. Hertz, Mark James. Difference Raising Operators for Kirillov-Reshetikhin Characters and Parabolic Jing Operators.

Degree: MS, Mathematics, 2017, Virginia Tech

URL: http://hdl.handle.net/10919/78215

► In this paper, we use the techniques of plethystic substitution to reformulate the difference raising operators presented by Di Francesco and Kedem. A connection between…
(more)

Subjects/Keywords: Symmetric Functions; Representation Theory; Plethysm

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APA (6^{th} Edition):

Hertz, M. J. (2017). Difference Raising Operators for Kirillov-Reshetikhin Characters and Parabolic Jing Operators. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/78215

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

Hertz, Mark James. “Difference Raising Operators for Kirillov-Reshetikhin Characters and Parabolic Jing Operators.” 2017. Masters Thesis, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/78215.

MLA Handbook (7^{th} Edition):

Hertz, Mark James. “Difference Raising Operators for Kirillov-Reshetikhin Characters and Parabolic Jing Operators.” 2017. Web. 30 Oct 2020.

Vancouver:

Hertz MJ. Difference Raising Operators for Kirillov-Reshetikhin Characters and Parabolic Jing Operators. [Internet] [Masters thesis]. Virginia Tech; 2017. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/78215.

Council of Science Editors:

Hertz MJ. Difference Raising Operators for Kirillov-Reshetikhin Characters and Parabolic Jing Operators. [Masters Thesis]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/78215

Virginia Tech

6. 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 October 30, 2020. http://hdl.handle.net/10919/32873.

MLA Handbook (7^{th} Edition):

Dickson, James Odziemiec. “An Introduction to Ramsey Theory on Graphs.” 2011. Web. 30 Oct 2020.

Vancouver:

Dickson JO. An Introduction to Ramsey Theory on Graphs. [Internet] [Masters thesis]. Virginia Tech; 2011. [cited 2020 Oct 30]. 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

7. 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 October 30, 2020. http://hdl.handle.net/10919/25286.

MLA Handbook (7^{th} Edition):

Brunson, Jason Cory. “Matrix Schubert varieties for the affine Grassmannian.” 2014. Web. 30 Oct 2020.

Vancouver:

Brunson JC. Matrix Schubert varieties for the affine Grassmannian. [Internet] [Doctoral dissertation]. Virginia Tech; 2014. [cited 2020 Oct 30]. 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

Virginia Tech

8. Shifler, Ryan M. Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian.

Degree: PhD, Mathematics, 2017, Virginia Tech

URL: http://hdl.handle.net/10919/77027

► The odd symplectic Grassmannian IG := IG(k, 2n + 1) parametrizes k dimensional subspaces of C^{2n+1} which are isotropic with respect to a general (necessarily…
(more)

Subjects/Keywords: odd symplectic; quantum cohomology; Chevalley formula

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APA (6^{th} Edition):

Shifler, R. M. (2017). Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77027

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

Shifler, Ryan M. “Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian.” 2017. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/77027.

MLA Handbook (7^{th} Edition):

Shifler, Ryan M. “Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian.” 2017. Web. 30 Oct 2020.

Vancouver:

Shifler RM. Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian. [Internet] [Doctoral dissertation]. Virginia Tech; 2017. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/77027.

Council of Science Editors:

Shifler RM. Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian. [Doctoral Dissertation]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/77027

Virginia Tech

9. Prabhu, Sarvesh Pradeep. Techniques for Enhancing Test and Diagnosis of Digital Circuits.

Degree: PhD, Computer Engineering, 2015, Virginia Tech

URL: http://hdl.handle.net/10919/51181

► Test and Diagnosis are critical areas in semiconductor manufacturing. Every chip manufactured using a new or premature technology or process needs to be tested for…
(more)

Subjects/Keywords: LBIST; LFSR-reseeding; Diagnostic Test Generation; Automated Test Pattern Generation (ATPG); Property Checking

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APA (6^{th} Edition):

Prabhu, S. P. (2015). Techniques for Enhancing Test and Diagnosis of Digital Circuits. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/51181

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

Prabhu, Sarvesh Pradeep. “Techniques for Enhancing Test and Diagnosis of Digital Circuits.” 2015. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/51181.

MLA Handbook (7^{th} Edition):

Prabhu, Sarvesh Pradeep. “Techniques for Enhancing Test and Diagnosis of Digital Circuits.” 2015. Web. 30 Oct 2020.

Vancouver:

Prabhu SP. Techniques for Enhancing Test and Diagnosis of Digital Circuits. [Internet] [Doctoral dissertation]. Virginia Tech; 2015. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/51181.

Council of Science Editors:

Prabhu SP. Techniques for Enhancing Test and Diagnosis of Digital Circuits. [Doctoral Dissertation]. Virginia Tech; 2015. Available from: http://hdl.handle.net/10919/51181

Virginia Tech

10. Gent, Kelson Andrew. High Quality Test Generation at the Register Transfer Level.

Degree: PhD, Computer Engineering, 2016, Virginia Tech

URL: http://hdl.handle.net/10919/73544

► Integrated circuits, from general purpose microprocessors to application specific designs (ASICs), have become ubiquitous in modern technology. As our applications have become more complex, so…
(more)

Subjects/Keywords: Hardware Test; ATPG; Functional Test; Swarm Intelligence; Verification; RTL ATPG

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APA (6^{th} Edition):

Gent, K. A. (2016). High Quality Test Generation at the Register Transfer Level. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/73544

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

Gent, Kelson Andrew. “High Quality Test Generation at the Register Transfer Level.” 2016. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/73544.

MLA Handbook (7^{th} Edition):

Gent, Kelson Andrew. “High Quality Test Generation at the Register Transfer Level.” 2016. Web. 30 Oct 2020.

Vancouver:

Gent KA. High Quality Test Generation at the Register Transfer Level. [Internet] [Doctoral dissertation]. Virginia Tech; 2016. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/73544.

Council of Science Editors:

Gent KA. High Quality Test Generation at the Register Transfer Level. [Doctoral Dissertation]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/73544

11. Withrow, Camron Michael. The moment graph for Bott-Samelson varieties and applications to quantum cohomology.

Degree: PhD, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/83820

► We give a description of the moment graph for Bott-Samelson varieties in arbitrary Lie type. We use this, along with curve neighborhoods and explicit moduli…
(more)

Subjects/Keywords: Bott-Samelson Variety; Quantum Cohomology; Moment Graph

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APA (6^{th} Edition):

Withrow, C. M. (2018). The moment graph for Bott-Samelson varieties and applications to quantum cohomology. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/83820

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

Withrow, Camron Michael. “The moment graph for Bott-Samelson varieties and applications to quantum cohomology.” 2018. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/83820.

MLA Handbook (7^{th} Edition):

Withrow, Camron Michael. “The moment graph for Bott-Samelson varieties and applications to quantum cohomology.” 2018. Web. 30 Oct 2020.

Vancouver:

Withrow CM. The moment graph for Bott-Samelson varieties and applications to quantum cohomology. [Internet] [Doctoral dissertation]. Virginia Tech; 2018. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/83820.

Council of Science Editors:

Withrow CM. The moment graph for Bott-Samelson varieties and applications to quantum cohomology. [Doctoral Dissertation]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/83820

12. Lugo, Michael Ruben. A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group.

Degree: PhD, Mathematics, 2019, Virginia Tech

URL: http://hdl.handle.net/10919/89477

► For an affine Weyl group W, we explicitly determine the elements for which the Möbius function of the subposet of affine Grassmannians under the Bruhat…
(more)

Subjects/Keywords: combinatorics; affine Weyl group; affine Grassmannian; quantum Bruhat graph; Möbius function; infinite affine Weyl group

…Mandy Welch. Double Affine Bruhat Order. PhD thesis, *Virginia* *Tech*, May 2019.
22
…

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APA (6^{th} Edition):

Lugo, M. R. (2019). A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/89477

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

Lugo, Michael Ruben. “A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group.” 2019. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/89477.

MLA Handbook (7^{th} Edition):

Lugo, Michael Ruben. “A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group.” 2019. Web. 30 Oct 2020.

Vancouver:

Lugo MR. A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group. [Internet] [Doctoral dissertation]. Virginia Tech; 2019. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/89477.

Council of Science Editors:

Lugo MR. A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group. [Doctoral Dissertation]. Virginia Tech; 2019. Available from: http://hdl.handle.net/10919/89477

13. Aslan, Songul. The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1).

Degree: PhD, Mathematics, 2019, Virginia Tech

URL: http://hdl.handle.net/10919/93039

► The study of curves on flag manifolds is motivated by questions in enumerative geometry and physics. To a space of curves and incidence conditions one…
(more)

Subjects/Keywords: Affine Flag Manifolds; Schubert Varieties; Curve Neighborhoods; Moment Graph; Combinatorial Curve Neighborhoods

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APA (6^{th} Edition):

Aslan, S. (2019). The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1). (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/93039

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

Aslan, Songul. “The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1).” 2019. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/93039.

MLA Handbook (7^{th} Edition):

Aslan, Songul. “The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1).” 2019. Web. 30 Oct 2020.

Vancouver:

Aslan S. The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1). [Internet] [Doctoral dissertation]. Virginia Tech; 2019. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/93039.

Council of Science Editors:

Aslan S. The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A_{n-1}^(1). [Doctoral Dissertation]. Virginia Tech; 2019. Available from: http://hdl.handle.net/10919/93039

14. Welch, Amanda Renee. Double Affine Bruhat Order.

Degree: PhD, Mathematics, 2019, Virginia Tech

URL: http://hdl.handle.net/10919/89366

► The Bruhat order is a way of organizing elements of the double affine Weyl semigroup so that we have a better understanding of how the…
(more)

Subjects/Keywords: Weyl group; double affine; Bruhat order; coverings; cocoverings

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APA (6^{th} Edition):

Welch, A. R. (2019). Double Affine Bruhat Order. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/89366

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

Welch, Amanda Renee. “Double Affine Bruhat Order.” 2019. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/89366.

MLA Handbook (7^{th} Edition):

Welch, Amanda Renee. “Double Affine Bruhat Order.” 2019. Web. 30 Oct 2020.

Vancouver:

Welch AR. Double Affine Bruhat Order. [Internet] [Doctoral dissertation]. Virginia Tech; 2019. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/89366.

Council of Science Editors:

Welch AR. Double Affine Bruhat Order. [Doctoral Dissertation]. Virginia Tech; 2019. Available from: http://hdl.handle.net/10919/89366

Virginia Tech

15. Elbayoumi, Mahmoud Atef Mahmoud Sayed. Strategies for Performance and Quality Improvement of Hardware Verification and Synthesis Algorithms.

Degree: PhD, Computer Engineering, 2015, Virginia Tech

URL: http://hdl.handle.net/10919/51221

► According to Moore's law, Integrated Chips (IC) doubles its capacity every 18 months. This causes an exponential increase of the available area, and hence,the complexity…
(more)

Subjects/Keywords: Verification; logic synthesis; SAT; BDDs; Low power; timing aware

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APA (6^{th} Edition):

Elbayoumi, M. A. M. S. (2015). Strategies for Performance and Quality Improvement of Hardware Verification and Synthesis Algorithms. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/51221

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

Elbayoumi, Mahmoud Atef Mahmoud Sayed. “Strategies for Performance and Quality Improvement of Hardware Verification and Synthesis Algorithms.” 2015. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/51221.

MLA Handbook (7^{th} Edition):

Elbayoumi, Mahmoud Atef Mahmoud Sayed. “Strategies for Performance and Quality Improvement of Hardware Verification and Synthesis Algorithms.” 2015. Web. 30 Oct 2020.

Vancouver:

Elbayoumi MAMS. Strategies for Performance and Quality Improvement of Hardware Verification and Synthesis Algorithms. [Internet] [Doctoral dissertation]. Virginia Tech; 2015. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/51221.

Council of Science Editors:

Elbayoumi MAMS. Strategies for Performance and Quality Improvement of Hardware Verification and Synthesis Algorithms. [Doctoral Dissertation]. Virginia Tech; 2015. Available from: http://hdl.handle.net/10919/51221

Virginia Tech

16. 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 October 30, 2020. http://hdl.handle.net/10919/33484.

MLA Handbook (7^{th} Edition):

Baber, Courtney Leigh. “An Introduction to List Colorings of Graphs.” 2009. Web. 30 Oct 2020.

Vancouver:

Baber CL. An Introduction to List Colorings of Graphs. [Internet] [Masters thesis]. Virginia Tech; 2009. [cited 2020 Oct 30]. 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

17. Tressler, Eric Paul. A Survey of the Hadamard Conjecture.

Degree: MS, Mathematics, 2004, Virginia Tech

URL: http://hdl.handle.net/10919/9898

► Hadamard matrices are defined, and their basic properties outlined. A survey of historical and recent literature follows, in which a number of existence theorems are…
(more)

Subjects/Keywords: Hadamard; design theory; clique; coding theory; BIBD

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APA (6^{th} Edition):

Tressler, E. P. (2004). A Survey of the Hadamard Conjecture. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/9898

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

Tressler, Eric Paul. “A Survey of the Hadamard Conjecture.” 2004. Masters Thesis, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/9898.

MLA Handbook (7^{th} Edition):

Tressler, Eric Paul. “A Survey of the Hadamard Conjecture.” 2004. Web. 30 Oct 2020.

Vancouver:

Tressler EP. A Survey of the Hadamard Conjecture. [Internet] [Masters thesis]. Virginia Tech; 2004. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/9898.

Council of Science Editors:

Tressler EP. A Survey of the Hadamard Conjecture. [Masters Thesis]. Virginia Tech; 2004. Available from: http://hdl.handle.net/10919/9898

Virginia Tech

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

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 October 30, 2020. http://hdl.handle.net/10919/32498.

MLA Handbook (7^{th} Edition):

Brunson, Jason Cornelius. “On Projective Planes & Rational Identities.” 2005. Web. 30 Oct 2020.

Vancouver:

Brunson JC. On Projective Planes & Rational Identities. [Internet] [Masters thesis]. Virginia Tech; 2005. [cited 2020 Oct 30]. 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

19. McLewin, Kelly English. Octonions and the Exceptional Lie Algebra g_2.

Degree: MS, Mathematics, 2004, Virginia Tech

URL: http://hdl.handle.net/10919/9878

► We first introduce the octonions as an eight dimensional vector space over a field of characteristic zero with a multiplication defined using a table. We…
(more)

Subjects/Keywords: Cayley-Dickson Construction; Octonion; Exceptional Lie Algebra g2; Fano Plane; Derivation; Normed Division Algebra

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

APA (6^{th} Edition):

McLewin, K. E. (2004). Octonions and the Exceptional Lie Algebra g_2. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/9878

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

McLewin, Kelly English. “Octonions and the Exceptional Lie Algebra g_2.” 2004. Masters Thesis, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/9878.

MLA Handbook (7^{th} Edition):

McLewin, Kelly English. “Octonions and the Exceptional Lie Algebra g_2.” 2004. Web. 30 Oct 2020.

Vancouver:

McLewin KE. Octonions and the Exceptional Lie Algebra g_2. [Internet] [Masters thesis]. Virginia Tech; 2004. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/9878.

Council of Science Editors:

McLewin KE. Octonions and the Exceptional Lie Algebra g_2. [Masters Thesis]. Virginia Tech; 2004. Available from: http://hdl.handle.net/10919/9878

Virginia Tech

20. Banga, Mainak. Testing and Verification Strategies for Enhancing Trust in Third Party IPs.

Degree: PhD, Electrical and Computer Engineering, 2010, Virginia Tech

URL: http://hdl.handle.net/10919/30085

► Globalization in semiconductor industry has surged up the trend of outsourcing component design and manufacturing process across geographical boundaries. While cost reduction and short time…
(more)

Subjects/Keywords: Design for Testability; Side-Channel Analysis; Sequential Equivalence Checking; Trojans; Third party IP

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

APA (6^{th} Edition):

Banga, M. (2010). Testing and Verification Strategies for Enhancing Trust in Third Party IPs. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/30085

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

Banga, Mainak. “Testing and Verification Strategies for Enhancing Trust in Third Party IPs.” 2010. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/30085.

MLA Handbook (7^{th} Edition):

Banga, Mainak. “Testing and Verification Strategies for Enhancing Trust in Third Party IPs.” 2010. Web. 30 Oct 2020.

Vancouver:

Banga M. Testing and Verification Strategies for Enhancing Trust in Third Party IPs. [Internet] [Doctoral dissertation]. Virginia Tech; 2010. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/30085.

Council of Science Editors:

Banga M. Testing and Verification Strategies for Enhancing Trust in Third Party IPs. [Doctoral Dissertation]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/30085

Virginia Tech

21. Siehler, Jacob A. Near-Group Categories.

Degree: PhD, Mathematics, 2003, Virginia Tech

URL: http://hdl.handle.net/10919/26962

► We consider the possibility of semisimple tensor categories whose fusion rule includes exactly one noninvertible simple object, so-called near-group categories. Data describing the fusion rule…
(more)

Subjects/Keywords: monoidal categories; braided categories; quantum field theory

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

APA (6^{th} Edition):

Siehler, J. A. (2003). Near-Group Categories. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26962

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

Siehler, Jacob A. “Near-Group Categories.” 2003. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/26962.

MLA Handbook (7^{th} Edition):

Siehler, Jacob A. “Near-Group Categories.” 2003. Web. 30 Oct 2020.

Vancouver:

Siehler JA. Near-Group Categories. [Internet] [Doctoral dissertation]. Virginia Tech; 2003. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/26962.

Council of Science Editors:

Siehler JA. Near-Group Categories. [Doctoral Dissertation]. Virginia Tech; 2003. Available from: http://hdl.handle.net/10919/26962

Virginia Tech

22. Garcia-Puente, Luis David. Algebraic Geometry of Bayesian Networks.

Degree: PhD, Mathematics, 2004, Virginia Tech

URL: http://hdl.handle.net/10919/11133

► We develop the necessary theory in algebraic geometry to place Bayesian networks into the realm of algebraic statistics. This allows us to create an algebraic…
(more)

Subjects/Keywords: statistical modelling; algebraic geometry; bayesian networks; computational commutative algebra; statistics

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

APA (6^{th} Edition):

Garcia-Puente, L. D. (2004). Algebraic Geometry of Bayesian Networks. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/11133

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

Garcia-Puente, Luis David. “Algebraic Geometry of Bayesian Networks.” 2004. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/11133.

MLA Handbook (7^{th} Edition):

Garcia-Puente, Luis David. “Algebraic Geometry of Bayesian Networks.” 2004. Web. 30 Oct 2020.

Vancouver:

Garcia-Puente LD. Algebraic Geometry of Bayesian Networks. [Internet] [Doctoral dissertation]. Virginia Tech; 2004. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/11133.

Council of Science Editors:

Garcia-Puente LD. Algebraic Geometry of Bayesian Networks. [Doctoral Dissertation]. Virginia Tech; 2004. Available from: http://hdl.handle.net/10919/11133

Virginia Tech

23. Liu, Xiao. ATPG and DFT Algorithms for Delay Fault Testing.

Degree: PhD, Electrical and Computer Engineering, 2004, Virginia Tech

URL: http://hdl.handle.net/10919/11213

► With ever shrinking geometries, growing metal density and increasing clock rate on chips, delay testing is becoming a necessity in industry to maintain test quality…
(more)

Subjects/Keywords: DFT; ATPG; transition fault; testing; delay testing

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

APA (6^{th} Edition):

Liu, X. (2004). ATPG and DFT Algorithms for Delay Fault Testing. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/11213

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

Liu, Xiao. “ATPG and DFT Algorithms for Delay Fault Testing.” 2004. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/11213.

MLA Handbook (7^{th} Edition):

Liu, Xiao. “ATPG and DFT Algorithms for Delay Fault Testing.” 2004. Web. 30 Oct 2020.

Vancouver:

Liu X. ATPG and DFT Algorithms for Delay Fault Testing. [Internet] [Doctoral dissertation]. Virginia Tech; 2004. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/11213.

Council of Science Editors:

Liu X. ATPG and DFT Algorithms for Delay Fault Testing. [Doctoral Dissertation]. Virginia Tech; 2004. Available from: http://hdl.handle.net/10919/11213

Virginia Tech

24. Zhang, Liang. Design Verification for Sequential Systems at Various Abstraction Levels.

Degree: PhD, Electrical and Computer Engineering, 2005, Virginia Tech

URL: http://hdl.handle.net/10919/26053

► With the ever increasing complexity of digital systems, functional verification has become a daunting task to circuit designers. Functional verification alone often surpasses 70% of…
(more)

Subjects/Keywords: Bounded Model Checking; Formal Verification; SAT; Simulation; ATPG

Record Details Similar Records

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

APA (6^{th} Edition):

Zhang, L. (2005). Design Verification for Sequential Systems at Various Abstraction Levels. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26053

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

Zhang, Liang. “Design Verification for Sequential Systems at Various Abstraction Levels.” 2005. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/26053.

MLA Handbook (7^{th} Edition):

Zhang, Liang. “Design Verification for Sequential Systems at Various Abstraction Levels.” 2005. Web. 30 Oct 2020.

Vancouver:

Zhang L. Design Verification for Sequential Systems at Various Abstraction Levels. [Internet] [Doctoral dissertation]. Virginia Tech; 2005. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/26053.

Council of Science Editors:

Zhang L. Design Verification for Sequential Systems at Various Abstraction Levels. [Doctoral Dissertation]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/26053

Virginia Tech

25. Gillespie, Jason Michael. A Combinatorial Proof of the Positivity of the Lusztig q-Analogue of Weight Multiplicity for Rank 2 Lie Algebras.

Degree: PhD, Mathematics, 2003, Virginia Tech

URL: http://hdl.handle.net/10919/11071

► We prove the positivity of Lusztig's q-analogue of weight multiplicity in a purely combinatorial way for rank 2 Lie algebras. Each summand in the polynomial…
(more)

Subjects/Keywords: Lusztig q-analogue; Combinatorics; Lie Algebras; Root Systems

Record Details Similar Records

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

APA (6^{th} Edition):

Gillespie, J. M. (2003). A Combinatorial Proof of the Positivity of the Lusztig q-Analogue of Weight Multiplicity for Rank 2 Lie Algebras. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/11071

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

Gillespie, Jason Michael. “A Combinatorial Proof of the Positivity of the Lusztig q-Analogue of Weight Multiplicity for Rank 2 Lie Algebras.” 2003. Doctoral Dissertation, Virginia Tech. Accessed October 30, 2020. http://hdl.handle.net/10919/11071.

MLA Handbook (7^{th} Edition):

Gillespie, Jason Michael. “A Combinatorial Proof of the Positivity of the Lusztig q-Analogue of Weight Multiplicity for Rank 2 Lie Algebras.” 2003. Web. 30 Oct 2020.

Vancouver:

Gillespie JM. A Combinatorial Proof of the Positivity of the Lusztig q-Analogue of Weight Multiplicity for Rank 2 Lie Algebras. [Internet] [Doctoral dissertation]. Virginia Tech; 2003. [cited 2020 Oct 30]. Available from: http://hdl.handle.net/10919/11071.

Council of Science Editors:

Gillespie JM. A Combinatorial Proof of the Positivity of the Lusztig q-Analogue of Weight Multiplicity for Rank 2 Lie Algebras. [Doctoral Dissertation]. Virginia Tech; 2003. Available from: http://hdl.handle.net/10919/11071