%0 Journal Article
%T Coloration of $K_7^-$-minor free graphs
%A Boris Albar
%J Mathematics
%D 2014
%I arXiv
%X Hadwiger's conjecture says that every $K_t$-minor free graph is $(t - 1)$-colorable. This problem has been proved for $t \leq 6$ but remains open for $t \geq 7$. $K_7$-minor free graphs have been proved to be $8$-colorable (Albar & Gon\c{c}alves, 2013). We prove here that $K_7^-$-minor free graphs are $7$-colorable, where $K_7^-$ is the graph obtained from $K_7$ by removing one edge.
%U http://arxiv.org/abs/1402.2806v1