Dominating Bipartite Subgraphs in Graphs
Author(s) -
Gábor Bacsó,
Danuta Michalak,
Zsolt Tuza
Publication year - 2005
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.1263
Subject(s) - combinatorics , mathematics , bipartite graph , cograph , induced subgraph , complete bipartite graph , discrete mathematics , maximal independent set , induced subgraph isomorphism problem , chordal graph , indifference graph , distance hereditary graph , graph , 1 planar graph , line graph , voltage graph , vertex (graph theory)
A graph G is hereditarily dominated by a class D of connected graphs if each connected induced subgraph of G contains a dominating induced subgraph belonging to D. In this paper we characterize graphs hereditarily dominated by classes of complete bipartite graphs, stars, connected bipartite graphs, and complete k-partite graphs.
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