Catherine Erbes, Ph.D.
Associate Professor of Mathematics
Contact
Cathy Erbes was born and raised in New Mexico and loves experiencing the different seasons that Northeast Ohio provides. Her research focuses on graph theory and combinatorics. As a teacher, her goal is to share her passion for mathematics with her students, and show them the beauty and wonder of the subject. She teaches a wide variety of courses, including Calculus, Linear Algebra, and Graph Theory.
Education
- Ph.D., University of Colorado Denver
- M.A., Indiana University
- B.A., Carleton College
Research Interests
- Graph theory — the study of graphs, or systems of nodes and their connections
- Using graphs to model systems
- Degree sequences of graphs and related extremal problems
- Games on graphs, and other problems that are easily stated but challenging to solve
Selected Publications
- C. Erbes, T. Molla, S. Mousley, M. Santana. Spanning trees with leaf distance at least d. Discrete Math. 340 (2017), no. 6, 1412-1418.
- S. Behrens, C. Erbes, M. Santana, D. Yager, E. Yeager. Graphs with induced-saturation number zero. Electron. J. Combin. 23 (1) (2016) P1.54, 23pp.
- S. Behrens, C. Erbes, M. Ferrara, S. Hartke, B. Reiniger, H. Spinoza, C. Tomlinson. New results on degree sequences of uniform hypergraphs. Electron. J. Combin. 20 (4) (2013) P14, 18pp.
Fun Facts
- She loves cats, books, board games and Crossfit.