Tractable connected domination for restricted bipartite graphs (extended abstract)

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Abstract

Finding a minimum connected dominating set (connected domination) is known-complete for chordal bipartite graphs, but tractable for convex bipartite graphs. In this paper, connected domination is shown tractable for circular-and triad-convex bipartite graphs, by efficient reductions from these graphs to convex bipartite graphs.

Original languageEnglish
Title of host publicationComputing and Combinatorics - 19th International Conference, COCOON 2013, Proceedings
Pages721-728
Number of pages8
DOIs
StatePublished - 2013
Event19th International Computing and Combinatorics Conference, COCOON 2013 - Hangzhou, China
Duration: 21 Jun 201321 Jun 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7936 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th International Computing and Combinatorics Conference, COCOON 2013
Country/TerritoryChina
CityHangzhou
Period21/06/1321/06/13

Keywords

  • Connected domination
  • circular-convex bipartite graph
  • convex bipartite graph
  • polynomial-time
  • triad-convex bipartite graph

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