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.