Euler's Theorem for Regular CW-Complexes
Geometric Topology
2024-01-02 v1
Abstract
For strongly connected, pure -dimensional regular CW-complexes, we show that {\it evenness} (each -cell is contained in an even number of -cells) is equivalent to generalizations of both cycle decomposition and traversability.
Cite
@article{arxiv.2401.00084,
title = {Euler's Theorem for Regular CW-Complexes},
author = {Richard H. Hammack and Paul C. Kainen},
journal= {arXiv preprint arXiv:2401.00084},
year = {2024}
}
Comments
15 pages, 3 figures, to appear in Combinatorica, 2024