Research Interests
My primary research interests are Combinatorics, Design Theory, and Graph Edge Coloring. I have completed multiple projects generalizing theorems concerning factorizations of hypergraphs and completion of Latin squares with varied parameters, and have a project in-progress in the area of (multi)-graph edge coloring.
Click here to view my ORCID record.
Current Projects
- Characterizing graphs achieving an upper bound on chromatic index involving girth
- Generalizations of partial Latin square results
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
Submitted for Publication
- Ryser’s Theorem for Equitable Rectangles (with Amin Bahmanian), 19 pages, submitted spring 2024
In Preparation
- 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)