Efficient domination on permutation graphs and trapezoid graphs

Y. Daniel Liang, Chin Lung Lu, Chuan Yi Tang

Research output: Contribution to book or proceedingConference articlepeer-review

24 Scopus citations

Abstract

The weighted efficient domination problem was solved in O(nm) time for cocomparability graphs [6]. This paper investigates whether more efficient algorithms can be found for permutation graphs and trapezoid graphs - subclasses of cocomparability graphs. Specifically, we present an O(n + m) algorithm for the weighted efficient domination problem on permutation graphs and an O(n log log n + m) algorithm on trapezoid graphs, where m¯denotes the number of edges in the complement of G.

Original languageEnglish
Title of host publicationComputing and Combinatorics - 3rd Annual International Conference COCOON 1997, Proceedings
EditorsTao Jiang, D.T. Lee
PublisherSpringer Verlag
Pages232-241
Number of pages10
ISBN (Print)354063357X, 9783540633570
StatePublished - 1997
Event3rd Annual International Computing and Combinatorics Conference, COCOON 1997 - Shanghai, China
Duration: Aug 20 1997Aug 22 1997

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1276
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference3rd Annual International Computing and Combinatorics Conference, COCOON 1997
Country/TerritoryChina
CityShanghai
Period08/20/9708/22/97

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