Title
Evaluating the Tutte Polynomial for Graphs of Bounded Tree-Width
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.
Year
DOI
Venue
1998
10.1017/S0963548398003551
Combinatorics, Probability & Computing
Keywords
Field
DocType
specific point,tutte polynomial,specific curve,bounded tree-width,linear number,computational complexity
Alternating polynomial,Tutte 12-cage,Discrete mathematics,Stable polynomial,Combinatorics,Tutte polynomial,Tutte theorem,Nowhere-zero flow,Chromatic polynomial,Mathematics,Tutte matrix
Journal
Volume
Issue
ISSN
7
3
0963-5483
Citations 
PageRank 
References 
38
1.88
6
Authors
1
Name
Order
Citations
PageRank
S. D. Noble1839.56