Research Interests
My primary research interests are Combinatorics, Design Theory, and Graph Edge Coloring. In particular, I am interested in Latin squares, “equitable” squares, hypergraph factorizations, and graph edge coloring.
Click here to view my ORCID record.
Current Project(s)
- Generalizations of partial Latin square results (and applications of these results to factorizations of graphs)
Publications
Published or Accepted
- Embedding Connected Factorizations (with Amin Bahmanian and Stefan Napirata), Journal of Combinatorial Theory, Series B, Volume 155, July 2022, pp. 358-373
- Existence of 2-factors in t-tough Graphs with Forbidden Induced Subgraphs (with Elizabeth Grimm and Songling Shan), Discrete Mathematics, Volume 346, Issue 10, October 2023
- Embedding connected factorizations II (with Amin Bahmanian), Journal of Combinatorial Theory, Series B, 2025
In Preparation or Submitted for Publication
- Ryser’s Theorem for Equitable Rectangles (with Amin Bahmanian)
- The Andersen-Hoffman Theorem for Equitable Rectangles (with Amin Bahmanian)
- Characterizing graphs achieving an upper bound on chromatic index involving girth (with Guantao Chen, Alireza Fiujlaali, and Jessica McDonald)