Work
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-Connected Balanced Subgraphs in Random Regular Multigraphs Under the Configuration Model (with L. Lu and L.A. Székely) (2012+).
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-Quest for Negative Dependency Graphs (with L. Lu and L.A. Székely) (2012+).
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-Applications of Stirling Numbers Involving Chromatic Polynomials (with T.D. Porter). Journal of Combinatorial Mathematics and Combinatorial Computing 70 (2009), 57 - 64.
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-Some Applications of Spanning Trees in K(s,t) (with L.H. Clark and T.D. Porter). Journal of Combinatorial Mathematics and Combinatorial Computing 62 (2007), 139 - 146.
Publications
Master’s Thesis
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-Partitioning the Labeled Spanning Trees of an Arbitrary Graph into Isomorphism Classes
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-Java Program (generates all labeled spanning trees of a graph and partitions them according to isomorphism - see paper for details)
A Survey of Zero-Knowledge Proofs with Applications to Cryptography
Quantum Computing in Complexity Theory and Theory of Computation
Miscellaneous
Coursework
The following is the work of a student, so some solutions may contain flaws. If you find any, please bring them to my attention.
Abstract Algebra
Instructor Homepage (huge bank of problems)
Combinatorial Complexity
Combinatorial Geometry
Discrete Mathematics I
Discrete Mathematics II
Extremal Graph Theory
Galois Theory
Graph Theory I
Graph Theory II
Lattice Theory
Measure Theory
Homework 1 (instructor solutions)
Homework 2 (instructor solutions)
Homework 3 (instructor solutions)
Homework 4 (instructor solutions)
Homework 5 (instructor solutions)
Homework 6 (instructor solutions)
Homework 7 (instructor solutions)
Homework 8 (instructor solutions)
Homework 9 (instructor solutions)
Probability Theory I
Probability Theory II
General Topology I
General Topology II