Direct and certifying recognition of normal helly circular-arc graphs in linear time

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1 Citation (Scopus)

Abstract

A normal Helly circular-arc graph is the intersection graph of arcs on a circle of which no three or less arcs cover the whole circle. Lin et al. [Discrete Appl. Math. 2013] presented the first recognition algorithm for this graph class by characterizing circular-arc graphs that are not in it. They posed as an open problem to design a direct recognition algorithm, which is resolved by the current paper. When the input is not a normal Helly circular-arc graph, our algorithm finds in linear time a minimal forbidden induced subgraph. Grippo and Safe [arXiv:1402.2641] recently reported the forbidden induced subgraphs characterization of normal Helly circular-arc graphs. The correctness proof of our algorithm provides, as a byproduct, an alternative proof to this characterization.
Original languageEnglish
Title of host publicationFrontiers in Algorithmics - 8th International Workshop, FAW 2014, Proceedings
PublisherSpringer Verlag
Pages13-24
Number of pages12
ISBN (Print)9783319080154
DOIs
Publication statusPublished - 1 Jan 2014
Event8th International Frontiers of Algorithmics Workshop, FAW 2014 - Zhangjiajie, China
Duration: 28 Jun 201430 Jun 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8497 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference8th International Frontiers of Algorithmics Workshop, FAW 2014
CountryChina
CityZhangjiajie
Period28/06/1430/06/14

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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