paper

Edge colorings of graphs without monochromatic stars

arXiv:1903.04541 · doi:10.1016/j.disc.2020.112140

Abstract

In this note, we improve on results of Hoppen, Kohayakawa and Lefmann about the maximum number of edge colorings without monochromatic copies of a star of a fixed size that a graph on vertices may admit. Our results rely on an improved application of an entropy inequality of Shearer.

14 pages