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Forbidden induced subgraphs of double-split graphs

Authors
  • Alexeev, Boris
  • Fradkin, Alexandra
  • Kim, Ilhee
Type
Published Article
Publication Date
Dec 16, 2010
Submission Date
Dec 16, 2010
Identifiers
DOI: 10.1137/100818121
Source
arXiv
License
Yellow
External links

Abstract

In the course of proving the strong perfect graph theorem, Chudnovsky, Robertson, Seymour, and Thomas showed that every perfect graph either belongs to one of five basic classes or admits one of several decompositions. Four of the basic classes are closed under taking induced subgraphs (and have known forbidden subgraph characterizations), while the fifth one, consisting of double-split graphs, is not. A graph is doubled if it is an induced subgraph of a double-split graph. We find the forbidden induced subgraph characterization of doubled graphs; it contains 44 graphs.

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