Chordal probe graphs: (Extended Abstract)

Martin Charles Golumbic, Marina Lipshteyn

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this paper, we introduce the class of chordal probe graphs which are a generalization of both interval probe graphs and chordal graphs. A graph G is chordal probe if its vertices can be partitioned into two sets P(probes) and N(non-probes) where N is a stable set and such that G can be extended to a chordal graph by adding edges between non-probes. We show that a chordal probe graph may contain neither an odd-length chordless cycle nor the complement of a chordless cycle. We give polynomial time recognition algorithms for the subfamily of weakly chordal graphs which are also chordal probe, first in the case of a fixed given partition of the vertices into probes and non-probes, and second in the more general case where no partition is given.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsHans L. Bodlaender
PublisherSpringer Verlag
Pages249-260
Number of pages12
ISBN (Electronic)9783540204527
DOIs
StatePublished - 2003

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2880
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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