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Gallai-Edmonds decomposition as a pruning technique

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  • Radosław Cymer

Abstract

We introduce a generic propagation mechanism for constraint programming. The method is based on the results of matching theory which is a mature and well-studied subject of graph theory. A first benefit of our new pruning technique comes from the fact that it can be applied on several global constraints whose solution is representable by a matching in a particular graph. In this work we describe a filtering scheme for such a family based on the Gallai-Edmonds Structure Theorem. In a number of important cases our method achieves hyper-arc consistency in polynomial time. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Radosław Cymer, 2015. "Gallai-Edmonds decomposition as a pruning technique," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(1), pages 149-185, March.
    • Handle: RePEc:spr:cejnor:v:23:y:2015:i:1:p:149-185
    DOI: 10.1007/s10100-013-0309-4
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    References listed on IDEAS

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    1. Henz, Martin & Muller, Tobias & Thiel, Sven, 2004. "Global constraints for round robin tournament scheduling," European Journal of Operational Research, Elsevier, vol. 153(1), pages 92-101, February.
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