Cathy Erbes is an Assistant Professor of Mathematics whose research focus is in Graph Theory and Combinatorics. She was born and raised in New Mexico and loves experiencing the different seasons that Northeast Ohio provides. 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 is the study of graphs, which are systems of nodes and the connections between them. Graphs can be used to model nearly anything, such as computer networks, traffic flows, or social networks. Graphs are also studied as mathematical objects themselves. Dr. Erbes mainly researches graphs themselves, particularly degree sequences of graphs and related extremal problems. She is also interested in 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
- I love cats, books, board games, and Crossfit.
