Homotopy in the Category of Graphs

Authors

Tien Chih, Montana State University-Billings

Document Type

Presentation Abstract

Presentation Date

10-8-2018

Abstract

Homotopy Theory is the study of bending spaces into each other. While this is an essential part of the study of Topology, it does not translate immediately to discrete settings such as Graphs. However, we can use the language of Categories to abstract ideas from homotopy, and apply them to Graph Theory.

We begin by discussing the basic definitions of graph homotopies first established by Anton Dochtermann in 2008. We then discuss new results in homotopy of graphs, including a way to find a unique representative for each homotopy class of graphs. This work was done in collaboration with Dr. Laura Scull of Fort Lewis College.

Additional Details

Monday, October 8, 2018 at 3:00 p.m. in Math 103
Refreshments at 4:00 p.m. in Math Lounge 109

Recommended Citation

Chih, Tien, "Homotopy in the Category of Graphs" (2018). Colloquia of the Department of Mathematical Sciences. 552.
https://scholarworks.umt.edu/mathcolloquia/552