I am interested in combinatorics, graph theory and applications. My research is partially supported by NSF grant DMS-2418903.
I am running an REU program at Fairfield this summer, 2025.
I am the organizer of the Fairfield Math Research Symposium. Students interested in giving a talk, please fill out this form (or email me).
Maximizing the number of stars in graphs with forbidden properties, with K. Hogenson, R. Kirsch, J. McDonald. Submitted.
Full classication of anti-van der Waerden numbers of graph products of forests, with J. Miller and N. Warnber. Submitted.
Anti-van der Waerden Numbers of Graph Products with Trees, with J. Miller, E. Sprangel, S. Walker, N. Warnberg. Submitted.
Bounds for Rainbow-uncommon Graphs, with B. Bates, N. Chiem, G. Elvin, R. Fines, M. Lie, H. Mikulas, I. Reiter, K. Zhou. To appear in Involve.
On the existence of $(r,g,\chi)$-cages, with G. Araujo-Pardo and L. Lesniak. Graphs and Combinatorics, 41: 57 (2025).
On the Correspondence Between Integer Sequences and Vacillating Tableaux, with P. E. Harris, A. Pun, C. Yan, C. Zhao. Enumerative Combinatorics and Applications, 5:1 (2025).
Combinatorial Identities of Vacillating Tableaux, with P.E. Harris, A. Pun, C. Yan, and C.C. Zhao. Integers, 24A (2024).
On the limiting vacillating tableaux for integer sequences, with P. E. Harris, A. Pun, C. Yan, and C. Zhao. Journal of Combinatorics, 15:3 (2024).
Rainbow Solutions to the Sidon Equation in Cyclic Groups, with J. Kritschgau. Discrete Mathematics, 347:9 (2024).
Triangle-degree and triangle-distinct graph, with B. Bjorkman, H.C. Smith, S. Jahanbekam, B. Kay, L. Keough, B. McKain, K. Moss, D. Rorabaugh, S. Shan. Discrete Mathematics, 347:1 (2024)
Anti-van der Waerden numbers on Graphs, with A. Schulte, E. Sprangel, S. Walker, N. Warnberg, M. Young. Journal of Graphs and Combinatorics. 38: 124 (2022)
Finding Long Cycles in Balanced Tripartite Graphs: A First Step (book chapter), with G. Araujo-Pardo, J. Faudree, K. Hogenson, R. Kirsch, L. Lesniak, J. McDonald. In Daniela Ferrero et al. (eds) Research Trends in Graph Theory, Association for Women in Mathematics Series (peer-reviewed). Springer Nature, Cham, Switzerland (2021).
List-antimagic Labeling of Vertex-Weighted Graphs, with A. Brandt, S. Jahanbekam, V. Larsen, D. Rorabaugh. Discrete Mathematics & Theoretical Computer Science. 23:3 (2021).
On the Edit Distance of Powers of Cycles, with R. Martin, C. Peck. Discrete Mathematics. 342, 2804--2817 (2019).
A forest building process on simple graphs, with S. Butler, J. Cummings, K. Heysse, P. Horn, R. Luo, B. Moran. Discrete Mathematics. 341, 497--507 (2018).
Proof of a conjecture of Graham and Lovász concerning unimodality of coefficients of the distance characteristic polynomial of a tree, with G. Aalipour, A. Abiad, L. Hogben, F. Kenter, J. Lin, M. Tait. Electronic Journal of Linear Algebra. 34, 373--380 (2018).
Anti-van der Waerden numbers of 3-term arithmetic progressions, with A. Schulte, M. Young. Electronic Journal of Combinatorics. 24(2): P2.39 (2017).
(4, 2)-choosability of planar graphs with forbidden substructures, joint work with C. Cox, M. Dairyko, K. Hogenson, M. Kumbhat, B. Lidický, K. Messerschmidt, K. Moss, K. Nowak, K. Palmowski, D. Stolee. Graphs and Combinatorics. I33, 751--787 (2017).
On the distance spectra of graphs, with G. Aalipour, A. Abiad, J. Cummings, J. De Silva, W. Gao, K. Heysse, L. Hogben, F. Kenter, J. Lin, M. Tait. Linear Algebra and its Applications. 497: 66-87 (2016).
Mathematical Model of Micro-Asperity Explosion in Vacuum Circuit Breakers, with S. N. Kharin. Proceedings of the 4th International Conference on Electronics, Computer, and Computation (ICECCO), pp. 194-200, Almaty, Kazakhstan (2007). [pdf]
Метод решения обратной задачи Веригина о водонефтяном контакте в условиях упругого режима, Ж.Бериккызы, С. Н. Харин. Математический журнал, Том 8, № 2 (28), с. 38 – 43, Алматы (2008). (In Russian)