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

3 votes

Is it easy to produce hard-to-color graphs?

in general to prove that it is really "hard" to color any set of graphs (even those that could take long to generate!) is equivalent to the P=?NP question and usually/often these problems stay nearly …
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