Nothing Special   »   [go: up one dir, main page]

skip to main content
article
Free access

A Linear Time Algorithm for Deciding Interval Graph Isomorphism

Published: 01 April 1979 Publication History
First page of PDF

References

[1]
AHO, A V, HOPCROFT, J E, AND ULLMAN, J D The Design and Analysts of Computer Algorithms Addtson- Wesley, Reading, Mass, 1974.
[2]
BOOTH, K S PQ-tree algorithms Ph D. Dlss, Dept EECS, U of Cahfornla, Berkeley, Cahf, 1975, also UCRL-51953, Lawrence Llvermore Lab, Llvermore, Cahf, 1975
[3]
BOOTH, K S Problems polynomlally equivalent to graph lsomorphtsm Tech Rep CS-77-04, Dept Comptr SCl, U of Waterloo, Waterloo, Ont, Canada, 1977
[4]
BOOTH, K S, AND LUEKER, G S Testmg for the consecutive ones property, interval graphs, and graph plananty using PQ-tree algonthms J Comptr Syst Scz 13, 3 (1976), 335-379
[5]
FISCHER, i, AND LADNER, R Private communlcaUon
[6]
FULKERSON, D R, AND GROSS, O A Incidence matrices and interval graphs Pactfic J Math 15, 3 (1965), 835-855
[7]
GAVRIL, F Algorithms for mmunum coloring, maxunum chque, minimum covering by chques, and maxtmum independent set of a chordal graph SIAM J Comptng 1, 2 (1972), 180--187
[8]
GAVRIL, F The mtersectlon graphs of subtrees m trees are exactly the chordal graphs J Combmatortal Theory 16, 1 (1974), 47-56
[9]
HAJ6S, G Uber eme Art von Graphen Int. Math Nachnchten 11 (1957), 65
[10]
HIRSCHBERG, D, AND EDELBERG, M On the complextty of computing graph ~somorph~sm Tech Rep TR- 130, Comptr. Sci. Lab, Dept EE, Prmceton U, Princeton, N J, Aug 1973
[11]
HOPCROFT, J.E., AND TARJAN, R E. Isomorphism of planar graphs In Complexity of Computer Computatwns, R E. Miller and J W Thatcher, Eds, Plenum Press, New York, 1972, pp 131-152
[12]
HOPCROFT, J E., AND WONG, J.K Linear tune algorithm for isomorphism of planar graphs Proc 6th Annual ACM Symp. Theory of Comptng, 1974, pp 172-184
[13]
KARP, R M. Reduclblhty among combmatonal problems In Complexay of Computer Computations, R E Miller and J W Thatcher, Eds., Plenum Press, New York, 1972, pp 85-104
[14]
LEKKERKERKER, C.G, AND BOLAND, J CH. Representation of a finite graph by a set of mtervals on the real line Fund Math 51 (1962), 45-64
[15]
LEMPEL, A, EVEN S, AND CEDERBAUM, I An algorithm for plananty testmg of graphs Proc Int Symp Theory of Graphs, Rome, July 1966, P Rosenstlehl, Ed., Gordon and Breach, New York, 1967, pp 215-232
[16]
LUEKER, G.S. Efficient algorithms for chordal graphs and interval graphs Ph D. Dtss., Prog Appl Math and Dept. EE, Princeton U, Princeton, N J, 1975
[17]
ROBERTS, F.S. Dzscrete Mathematwal Models, wuh Apphcatzons to Soctal, Bzologtcal and Envwonmental Problems Prentice-Hall, Englewood Chffs, N J, 1976
[18]
ROSE, D J, TAR/AN, R E, AND LUEKER, G S Algorithmic aspects of vertex ellmmatton on graphs SIAM ~ Comptng 5, 2 (1976), 266-283
[19]
YOUNG, S.M. Implementatton of PQ-tree algorithms Masters Th., Dept Comptr Sci, U. of Washington, Seattle, Wash, 1977

Cited By

View all
  • (2024)Graphs with at most two moplexesJournal of Graph Theory10.1002/jgt.23102107:1(38-69)Online publication date: 8-May-2024
  • (2023)Parameterized complexity of multicut in weighted treesTheoretical Computer Science10.1016/j.tcs.2023.114174978(114174)Online publication date: Nov-2023
  • (2023)Color assignment optimization for categorical data visualization with adjacent blocksJournal of Visualization10.1007/s12650-022-00905-z26:4(917-936)Online publication date: 6-Jan-2023
  • Show More Cited By

Index Terms

  1. A Linear Time Algorithm for Deciding Interval Graph Isomorphism

      Recommendations

      Comments

      Please enable JavaScript to view thecomments powered by Disqus.

      Information & Contributors

      Information

      Published In

      cover image Journal of the ACM
      Journal of the ACM  Volume 26, Issue 2
      April 1979
      205 pages
      ISSN:0004-5411
      EISSN:1557-735X
      DOI:10.1145/322123
      Issue’s Table of Contents

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 01 April 1979
      Published in JACM Volume 26, Issue 2

      Permissions

      Request permissions for this article.

      Check for updates

      Qualifiers

      • Article

      Contributors

      Other Metrics

      Bibliometrics & Citations

      Bibliometrics

      Article Metrics

      • Downloads (Last 12 months)136
      • Downloads (Last 6 weeks)18
      Reflects downloads up to 19 Nov 2024

      Other Metrics

      Citations

      Cited By

      View all
      • (2024)Graphs with at most two moplexesJournal of Graph Theory10.1002/jgt.23102107:1(38-69)Online publication date: 8-May-2024
      • (2023)Parameterized complexity of multicut in weighted treesTheoretical Computer Science10.1016/j.tcs.2023.114174978(114174)Online publication date: Nov-2023
      • (2023)Color assignment optimization for categorical data visualization with adjacent blocksJournal of Visualization10.1007/s12650-022-00905-z26:4(917-936)Online publication date: 6-Jan-2023
      • (2023)Domination and Cut Problems on Chordal Graphs with Bounded LeafageAlgorithmica10.1007/s00453-023-01196-y86:5(1428-1474)Online publication date: 29-Dec-2023
      • (2022)Simple-Triangle Graphs and Related ClassesSimple-Triangle Graphとその周辺IEICE ESS Fundamentals Review10.1587/essfr.16.1_1716:1(17-23)Online publication date: 1-Jul-2022
      • (2022)Generation of random chordal graphs using subtrees of a treeRAIRO - Operations Research10.1051/ro/202202756:2(565-582)Online publication date: 25-Mar-2022
      • (2022)Revising Johnson’s table for the 21st centuryDiscrete Applied Mathematics10.1016/j.dam.2021.05.021323:C(184-200)Online publication date: 31-Dec-2022
      • (2022)Coloring Mixed and Directional Interval GraphsGraph Drawing and Network Visualization10.1007/978-3-031-22203-0_30(418-431)Online publication date: 13-Sep-2022
      • (2022)Testing Isomorphism of Chordal Graphs of Bounded Leafage is Fixed-Parameter Tractable (Extended Abstract)Graph-Theoretic Concepts in Computer Science10.1007/978-3-031-15914-5_3(29-42)Online publication date: 22-Jun-2022
      • (2021)Graph isomorphism restricted by listsTheoretical Computer Science10.1016/j.tcs.2021.01.027Online publication date: Jan-2021
      • Show More Cited By

      View Options

      View options

      PDF

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader

      Login options

      Full Access

      Media

      Figures

      Other

      Tables

      Share

      Share

      Share this Publication link

      Share on social media