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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.

3 votes

Tutte polynomials of appropriate Cayley graphs

This does not really answer your questions, but has a somewhat similar flavor, so you might find it interesting anyway - if you have a sequence of finite graphs $G_{n}$ converging (in a suitable sense …
Michal Kotowski's user avatar