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arxiv: 1903.04541 · v6 · pith:67JFXWV5new · submitted 2019-03-11 · 🧮 math.CO

Edge colorings of graphs without monochromatic stars

classification 🧮 math.CO
keywords coloringsedgemonochromaticresultswithoutadmitapplicationcopies
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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 $n$ vertices may admit. Our results rely on an improved application of an entropy inequality of Shearer.

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