Listing chordal graphs and interval graphs

Masashi Kiyomi, Shuji Kijima, Takeaki Uno

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

7 被引用数 (Scopus)

抄録

We propose three algorithms for enumeration problems; given a graph G, to find every chordal supergraph (in Kn) of G, to find every interval supergraph (in Kn) of G, and to find every interval subgraph of G in Kn. The algorithms are based on the reverse search method. A graph is chordal if and only if it has no induced chordless cycle of length more than three. A graph is an interval graph if and only if it has an interval representation. To the best of our knowledge, ours are the first results about the enumeration problems to list every interval subgraph of the input graph and to list every chordal/interval supergraph of the input graph in polynomial time. The time complexities of the first algorithm is O((n + m)2) for each output graph, and those for the rest two algorithms are O(n3) for each output graph, where m is the number of edges of input graph G. We also show that a straight-forward depth-first search type algorithm is not appropriate for these problems.

本文言語英語
ホスト出版物のタイトルGraph-Theoretic Concepts in Computer Science - 32nd International Workshop, WG 2006, Revised Papers
出版社Springer Verlag
ページ68-77
ページ数10
ISBN(印刷版)3540483810, 9783540483816
DOI
出版ステータス出版済み - 1 1 2006
外部発表はい
イベント32nd International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2006 - Bergen, ノルウェー
継続期間: 6 22 20066 24 2006

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
4271 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

その他

その他32nd International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2006
Countryノルウェー
CityBergen
Period6/22/066/24/06

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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