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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.

5 votes

Non-isomorphic matroids with the same Tutte Polynomial

Matroids of ranks $1$ and $2$ have simple descriptions, from which one can check that the Tutte polynomial determines the matroid in these cases. A matroid of rank $1$ is always $\ell \geq 0$ loops t …
David E Speyer's user avatar
14 votes

What is the Tutte polynomial encoding?

I'm going to take the opportunity to advertise one of my results: A number of people have said to me "I always thought there was something $K$-theoretic about the Tutte polynomial". Alex Fink and I ha …
David E Speyer's user avatar