Document Type
Lecture
Publication Date
8-29-2017
Abstract
Euler’s formula is the foundation for many results in graph theory. Knowing this universal constant associated with graph embeddings on any surface has allowed us to advance our understanding of many foundational concepts in the discipline. In this talk, we describe a quasi-surface, a generalization of both the kbook space and the 2-sphere, for the first time. Natural questions related to graph embeddings such as the chromatic number, and whether or not there is an equivalent to the Euler formula for a quasi-surface are investigated.
Relational Format
presentation
Recommended Citation
Kanno, Jinko, "Quasi-surfaces: Chromatic Numbers and Euler’s Formula" (2017). Combinatorics Seminar. 22.
https://egrove.olemiss.edu/math_combinatorics/22
