University of Nebraska-Lincoln

Department of Mathematics

Avery 242

Welcome to my webpage. Email me at s-tseacre1 at math dot unl dot edu.

**Main research area:** Graph theory. I'm especially interested in degree sequences, matchings, and games on graphs.

**Other interests:** combinatorics, probability, combinatorial geometry, convex geometry, computational complexity theory, coding theory, cryptology, mathematics education, philosophy of math, history of math

**Doctoral Thesis:** *Packings and Realizations of Degree Sequences with Specified Substructures.* pdf

**Publications:**

- In Progress
*Connections between Chromatic and Domatic Colorings*. - In Progress
*Multipartite Subgraphs and Edge-Disjoint Perfect Matchings*.

With Stephen G. Hartke - In Progress
*Prison Warden's Dilemma: A Characterization of $3$-convexity*.

With Deborah E. Seacrest - In Progress
*Relating Minimum Degree and the Existence of a $k$-factor*.

With Stephen G. Hartke and Ryan Martin,

*Grabbing the Gold*.

With Deborah E. Seacrest

Submitted to Discrete Math pdf-
*Potential Bisections of Large Degree*.

With Stephen G. Hartke,

Submitted to Journal of Graph Theory pdf -
*Minimal Triangulations of Simplotopes*.

With Francis Edward Su,

Submitted to Discrete and Computational Geometry pdf

**PDF talks:**

*Large 1-factorizable Subgraphs*.

Joint Mathematics Meetings, New Orleans.

January 8, 2011. pdf*Prisoner Problems*.

Graduate Student Seminar, University of Nebraska-Lincoln.

December 3, 2010. pdf*Bisections and Edge-Disjoint 1-factors*.

Discrete Seminar, University of Colorado Denver.

October 11, 2010. pdf*Packing Degree Sequences*.

Joint Mathematics Meetings, San Francisco, CA.

January 13, 2010. pdf*The Case of Sleeping Beauty*.

Graduate Student Seminar, University of Nebraska-Lincoln.

April 29, 2009. pdf