Abstract
Albertson conjectured that if a graph $G$ has chromatic number $r$, then the crossing number of $G$ is at least as large as the crossing number of $K_r$, the complete graph on $r$ vertices. Albertson, Cranston, and Fox verified the conjecture for $r\le 12$. In this paper we prove it for $r\le 16$.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
2 articles.
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1. The Crossing Number of the Cone of a Graph;SIAM Journal on Discrete Mathematics;2018-01
2. The Crossing Number of the Cone of a Graph;Lecture Notes in Computer Science;2016