Year: 2026
Type: preprint
Abstract: We give a combinatorial proof that every simple convex $3$-polytope admits a small cover without using the Four Color Theorem. We also prove that the assertion that every simple plane triangulation admits a mod~$2$ characteristic function with at most five values is equivalent to the Four Color Theorem.
Source: arXiv (Cornell University)
Authors: Choi, Suyoung, Kim, Ringi
Institutions: Inha University, Ajou University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G608843709
OpenAlex ID: W7223211665