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On Retracts, Absolute Retracts, and Folds in Cographs by Kloks, Ton; Wang, Yue-Li is a scholarly article available to read on EtoBox.

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Let G and H be two cographs. We show that the problem to determine whether H is a retract of G is NP-complete. We show that this problem is fixed-parameter tractable when parameterized by the size of H. When restricted to the class of threshold graphs or to the class of trivially perfect graphs, the problem becomes tractable in polynomial time. The problem is also soluble when one cograph is given as an induced subgraph of the other. We characterize absolute retracts of cographs.

Author

Kloks, Ton; Wang, Yue-Li

Published

2013

Language

EN