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Questions about the Tutte polynomial of graphs and matroids, which is a polynomial in two variables encoding many interesting combinatorial informations.

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Tutte polynomial from independent sets of a graph

Let $G$ be a connected graph with chromatic polynomial $X(G,q)$. Since $k$-proper coloring a graph is same as partitioning the vertex set $V$ into $k$ independent sets (a subset of the vertex set in w …
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