Article ID Journal Published Year Pages File Type
4657410 Journal of Combinatorial Theory, Series B 2008 9 Pages PDF
Abstract

We prove that the chromatic number of an oriented matroid O of rank r⩾3 is at most r+1 with equality if and only if O is the oriented matroid of an orientation of Kr+1, the complete graph on r+1 vertices.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics