Research

I am interested in extremal combinatorics and graph theory.  Recently, I am especially interested in graph coloring and Ramsey-type problems.  I am being advised by Dr. Shira Zerbib (Iowa State University) and Dr. Emily Heath (Cal Poly Pomona).  

Publications and Preprints

• E. Heath, G. McCourt, A. Parker, C. Schwieder, S. Zerbib. Ramsey Numbers in Kneser Graphs. arXiv.

• N. Crawford, E. Heath, O. Henderschedt, C. Schwieder, and S. Zerbib. Odd Ramsey numbers of multipartite graphs and hypergraphs. Submitted.

• D. Baker, E. Gomez-Leos, A. Halfpap, E. Heath, R. R. Martin, J. Miller, A. Parker, H. Pungello, C. Schwieder, and N. Veldt. On the proper rainbow saturation numbers of cliques, paths, and odd cycles. Submitted.

• J. Briggs, A. Parker, C. Schwieder, and C. Wells.  Frogs, hats and common subsequences.  Submitted.

• E. Gomez-Leos, E. Heath, A. Parker, C. Schwieder, and S. Zerbib.  New bounds on the generalized Ramsey number f(n,5,8).  Discrete Mathematics.  347(7)  (2024).

• G. Aspenson, D. Baker, B. Freyberg, and C. Schwieder.  Decomposing K_{18n} and K_{18n+1} into connected unicyclic graphs with nine edges.  Electronic Journal of Graph Theory and Applications, 11(1)  (2023).