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Vertex colouring, Edge Colouring, List Colouring, Fractional Chromatic Number and other variants of graph colouring problems are all on topic.

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Fractional Coloring

A fractional coloring of $G(V,E)$ is a function $f:{2^{|V|}} \to [0,1]$ such that $f(S) > 0$ only if $S$ is an independent set in $G$, and for all $v \in V$, it holds $\sum\nolimits_{S:v \in S} { …