My research interest is predominantly structural graph theory with a focus on Ramsey theory and unavoidable substructure problems.

Publications

1. The Strong Spectral Property of Graphs: Graph Operations and Barbell Partitions, with Emelie Curl, Shaun Fallat, Shahla Nasserasr, Houston Schuerger, Ralihe R. Villagrán, Prateek K. Vishwakarma, Graphs and Combinatorics 40, 20 (2024). [arXiv, journal]
2. Unavoidable Induced Subgraphs of Large 2-Connected Graphs with Guoli Ding and Bogdan Oporowski, SIDMA Vol. 37, 2, 684-698 (2023) [arXiv, journal]
3. Theta Graphs are Hall t-chromatic for all t=0,1,2,… with Peter Johnson , BICA 81, 52-62 (2017)[journal]
4. Forbidding Rainbow Cycles with Edge-Colorings of K_m,n with Peter Johnson and Melissa Murphy, Alabama Journal of Mathematics, 38 (2014) [journal]

1. A combinatorial bound on the number of distinct eigenvalues of a graph with Craig Erickson, Kevin Grace, H. Tracy Hall, and Alathea Jensen [arXiv]
2. Unavoidable Induced Subgraphs of Infinite 2-Connected Graphs with Guoli Ding and Bogdan Oporowski  [arXiv]

Talks

1. Unavoidable Induced Subgraphs of Large 2-Connected Graphs at University of Waterloo Graphs and Matroids Seminar (YouTube Link to talk)

Doctoral Dissertation

1. Unavoidable Structures in Large and Infinite Graphs Louisiana State University