Fractional coloring of triangle-free planar graphs

arxiv: 1402.5331 · v1 · pith:TO3D2BGAnew · submitted 2014-02-21 · 🧮 math.CO

Zden\v{e}k Dvo\v{r}\'ak , Jean-S\'ebastien Sereni , Jan Volec This is my paper

classification 🧮 math.CO

keywords fractionalplanartriangle-freechromaticcoloringeveryfracgraph

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We prove that every planar triangle-free graph on $n$ vertices has fractional chromatic number at most $3-\frac{1}{n+1/3}$.

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