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Results tagged with tutte-polynomial
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user 21688
Questions about the Tutte polynomial of graphs and matroids, which is a polynomial in two variables encoding many interesting combinatorial informations.
13
votes
How many Tutte polynomials of complete graphs are known?
There is a simple formula for the generating function of $T_{K_n}(x,y)$, which is more cleanly expressed in terms of the (equivalent) "coboundary polynomial" $X_M(q,t) = (t-1)^{r(M)} T_M(1+\frac{q}{t- …
- 261
13
votes
2
answers
651
views
Generating functions, Tutte polynomials, and the bivariate series $\sum_n x^n y^{n^2} / n!$.
A few years ago I computed the Tutte polynomials of the matroids given by the classical Coxeter groups, and found that their generating functions are all simple variations of the series $\sum_n \frac{ …
- 261