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Stability preserving transformations of graphs

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  • Vadim Lozin

Abstract

Graph transformations proved useful for many algorithmic problems. In the present paper, we study this tool with respect to the maximum stable set problem. We first review available results on this topic and then propose an approach to uniformly describe and systematically develop graph transformations that do not change the size of a maximum stable set in the graph. The approach is illustrated by a number of new transformations. Copyright Springer Science+Business Media, LLC 2011

Suggested Citation

  • Vadim Lozin, 2011. "Stability preserving transformations of graphs," Annals of Operations Research, Springer, vol. 188(1), pages 331-341, August.
    • Handle: RePEc:spr:annopr:v:188:y:2011:i:1:p:331-341:10.1007/s10479-008-0395-1
    DOI: 10.1007/s10479-008-0395-1
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    References listed on IDEAS

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    1. D. de Werra & P. Hammer, 2007. "Weighted stability number of graphs and weighted satisfiability: The two facets of pseudo-Boolean optimization," Annals of Operations Research, Springer, vol. 149(1), pages 67-73, February.
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      Keywords

      Graph transformation; Stability number;

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