Research

My research interest is predominantly structural graph theory, focusing on Ramsey theory and unavoidable substructure problems.

Publications

  1. A combinatorial bound on the number of distinct eigenvalues of a graph with Craig Erickson, Kevin Grace, H. Tracy Hall, and Alathea Jensen, The Australasian Journal of Combinatorics Vol 92, 1 (2025) [arXiv, journal]
  2. Unavoidable induced subgraphs of infinite 2-connected graphs with Guoli Ding and Bogdan Oporowski, Discrete Mathematics Vol 348, 4(2025) [arXiv, journal]
  3. 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]
  4. Unavoidable induced subgraphs of large 2-connected graphs with Guoli Ding and Bogdan Oporowski, SIAM Journal of Discrete Mathematics Vol. 37, 2, 684-698 (2023) [arXiv, journal]
  5. Theta graphs are hall t-chromatic for all t=0,1,2,… with Peter Johnson, Bulletin of the Institute of Combinatorics and its Applications 81, 52-62 (2017)[journal]
  6. Forbidding rainbow cycles with edge-colorings of Km,n with Peter Johnson and Melissa Murphy, Alabama Journal of Mathematics, 38 (2014) [journal]
Preprints
  1. Unavoidable induced subgraphs of large and infinite 2-edge-connected graphs with Mark Ellingham, submitted [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