Publication details

Computing the Tutte Polynomial with Restricted “Width”

Authors

HLINĚNÝ Petr GIMENEZ Omer NOY Marc

Year of publication 2005
MU Faculty or unit

Faculty of Informatics

Citation
Description 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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