Computing the Tutte Polynomial with Restricted “Width”
| Název česky | Výpočet Tuttova polynomu s omezenou "šířkou" |
|---|---|
| Autoři | |
| Rok publikování | 2005 |
| Druh | Vyžádané přednášky |
| Fakulta / Pracoviště MU | |
| Citace | |
| Popis | We discuss some cases when restricting a structural "width" parameter of a graph or a matroid helps to compute the Tutte polynomial faster. Namely, results of Andrzejak and Noble show how to compute the Tutte polynomial efficiently on graphs of bounded tree-width. We show that an efficient computation of the polynomial is possible also in the case of represented matroids of bounded branch-width. As a recent result, we show a subexponential algorithm for computing the Tutte polynomial on graphs of bounded clique-width. |
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