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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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What is the number of connected graphs with $n$ vertices of max. degree up to $D$? Leaving $...
It is known that $F(x)$ is the generating function of the counting sequence of connected simple graphs with N vertices is given by:
$F(x) = x + x^2 + 2x^3 + 6x^4 + 21x^5 + 112x^6 + 853x^7...$
where th …