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A Characterization of Domination Reducible Graphs
Authors:Email author" target="_blank">Igor Ed?ZverovichEmail author
Institution:(1) RUTCOR–Rutgers Center for Operations Research, Rutgers, The State University of New Jersey, 640 Bartholomew Road, Piscataway, NJ 08854-8003, USA
Abstract:We introduce a hereditary class of domination reducible graphs where the minimum dominating set problem is polynomially solvable, and characterize this class in terms of forbidden induced subgraphs.Acknowledgments The research was supported by DIMACS 2002 and 2003 Awards. The author would like to thank the both referees for their valuable suggestions.Final version received: October 3, 2003
Keywords:Domination number  Hereditary class of graphs  Forbidden induced subgraph  Homogeneous set
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