Colorful Frontier-Based Search: Implicit Enumeration of Chordal and Interval Subgraphs

Jun Kawahara, Toshiki Saitoh, Hirofumi Suzuki, Ryo Yoshinaka

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper considers enumeration of specific subgraphs of a given graph by using a data structure called a zero-suppressed binary decision diagram (ZDD). A ZDD can represent the set of solutions quite compactly. Recent studies have demonstrated that a technique generically called frontier-based search (FBS) is a powerful framework for using ZDDs to enumerate various yet rather simple types of subgraphs. We in this paper, propose colorful FBS, an enhancement of FBS, which enables us to enumerate more complex types of subgraphs than existing FBS techniques do. On the basis of colorful FBS, we design methods that construct ZDDs representing the sets of chordal and interval subgraphs from an input graph. Computer experiments show that the proposed methods run faster than reverse search based algorithms.

Original languageEnglish
Title of host publicationAnalysis of Experimental Algorithms - Special Event,SEA² 2019, Revised Selected Papers
EditorsIlias Kotsireas, Panos Pardalos, Arsenis Tsokas, Konstantinos E. Parsopoulos, Dimitris Souravlias
PublisherSpringer
Pages125-141
Number of pages17
ISBN (Print)9783030340285
DOIs
Publication statusPublished - 2019 Jan 1
EventSpecial Event on Analysis of Experimental Algorithms, SEA² 2019 - Kalamata, Greece
Duration: 2019 Jun 242019 Jun 29

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11544 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceSpecial Event on Analysis of Experimental Algorithms, SEA² 2019
CountryGreece
CityKalamata
Period19/6/2419/6/29

Keywords

  • Chordal graph
  • Decision diagram
  • Frontier-based search
  • Graph algorithm
  • Graph enumeration
  • Interval graph

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Kawahara, J., Saitoh, T., Suzuki, H., & Yoshinaka, R. (2019). Colorful Frontier-Based Search: Implicit Enumeration of Chordal and Interval Subgraphs. In I. Kotsireas, P. Pardalos, A. Tsokas, K. E. Parsopoulos, & D. Souravlias (Eds.), Analysis of Experimental Algorithms - Special Event,SEA² 2019, Revised Selected Papers (pp. 125-141). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11544 LNCS). Springer. https://doi.org/10.1007/978-3-030-34029-2_9