Polynomial algorithms for Graph Isomorphism and Chromatic Index on Partial k-Trees

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Abstract

In this paper we show that Graph Isomorphism and Chromatic Index are solvable in polynomial time when restricted to the class of graphs with treewidth ≤k (k a constant) (or equivalently, the class of partial k-trees). Also, we show that there exist algorithms that find tree-decompositions with treewidth ≤k of graphs with treewidth ≤k, in O(n^3) time, (k constant).
Original languageEnglish
Title of host publication1st Scandinavian Workshop on Algorithm Theory Halmstad, Sweden, July 5–8, 1988 Proceedings
EditorsRolf Karlsson, Andrzej Lingas
PublisherSpringer
Pages223
Number of pages232
Volume318
ISBN (Electronic)978-3-540-39288-0
ISBN (Print)978-3-540-19487-3
DOIs
Publication statusPublished - 1988
Externally publishedYes
Event1st Scandinavian Workshop on Algorithm Theory, SWAT 1988 - Halmstad, Sweden
Duration: 5 Jul 19888 Jul 1988

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume318

Conference

Conference1st Scandinavian Workshop on Algorithm Theory, SWAT 1988
Country/TerritorySweden
CityHalmstad
Period5/07/888/07/88

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