Article ID Journal Published Year Pages File Type
4657470 Journal of Combinatorial Theory, Series B 2006 6 Pages PDF
Abstract

Hoffman's bound on the chromatic number of a graph states that χ⩾1−λ1/λn. Here we show that the same bound, or slight modifications of it, hold for several graph parameters related to the chromatic number: the vector coloring number, the ψ-covering number and the λ-clustering number.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics