





















A graph $G$ is equitably $k$-choosable if, for every $k$-uniform list assignment $L$, $G$ is $L$-colorable and each color appears on at most $\left\lceil |V(G)|/k\right\rceil$ vertices. Equitable list-coloring was introduced by Kostochka, Pelsmajer, and West in 2003. They conjectured that a connected graph $G$ with $Δ(G)\geq 3$ is equitably $Δ(G)$-choosable, as long as $G$ is not complete or $K_{d,d}$ for odd $d$. In this paper, we use a discharging argument to prove their conjecture for the infinite family of prism graphs.
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。