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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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Subgraph avoiding colorings

Suppose $G$ has order [number of vertices] $n$, and contains $m$ copies of $H$ as subgraphs (in the special case $H = K_2$, $m$ will be the size of $G$), and label them $H_1, H_2, \ldots, H_m$. (Some …
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