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Title: Evaluating the Tutte Polynomial for Graphs of Bounded Tree-Width
Authors: Noble, S D
Keywords: Tutte polynomial;graphs of bounded treewidth;computational complexity;linear time algorithm
Issue Date: 1998
Publisher: Cambridge University Press
Citation: Combinatorics, Probability and Computing, (1998) 7, 307-321
Abstract: It is known that evaluating the Tutte polynomial, $T(G; x, y)$, of a graph, $G$, is $\#$P-hard at all but eight specific points and one specific curve of the $(x, y)$-plane. In contrast we show that if $k$ is a fixed constant then for graphs of tree-width at most $k$ there is an algorithm that will evaluate the polynomial at any point using only a linear number of multiplications and additions.
ISSN: 09635483
Appears in Collections:Computer Science
Mathematical Sciences

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