Fengxia Liu

The r-Hued Coloring of Complements of Cycles

Given a graph G , an r -hued coloring of G is a proper vertex coloring such that for every vertex v , the number of colors appearing in its neighborhood is at least min { d G ( v ) , r } , where d G ( v ) denotes the degree of v in G . The r -hued chromatic number χ r ( G ) is the smallest number of colors needed for a...