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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 24 / No. 1: Twenty-Fourth AAAI Conference on Artificial Intelligence

Propagating Conjunctions of AllDifferent Constraints

March 8, 2023

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Authors

Christian Bessiere

LIRMM, CNRS


George Katsirelos

CRIL-CNRS


Nina Narodytska

NICTA and UNSW


Claude-Guy Quimper

Universite Laval


Toby Walsh

NICTA and UNSW


DOI:

10.1609/aaai.v24i1.7554


Abstract:

We study propagation algorithms for the conjunction of two AllDifferent constraints. Solutions of an AllDifferent constraint can be seen as perfect matchings on the variable/value bipartite graph. Therefore, we investigate the problem of finding simultaneous bipartite matchings. We present an extension of the famous Hall theorem which characterizes when simultaneous bipartite matchings exists. Unfortunately, finding such matchings is NP-hard in general. However, we prove a surprising result that finding a simultaneous matching on a convex bipartite graph takes just polynomial time. Based on this theoretical result, we provide the first polynomial time bound consistency algorithm for the conjunction of two AllDifferent constraints. We identify a pathological problem on which this propagator is exponentially faster compared to existing propagators. Our experiments show that this new propagator can offer significant benefits over existing methods.

Topics: AAAI

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HOW TO CITE:

Christian Bessiere|| George Katsirelos|| Nina Narodytska|| Claude-Guy Quimper|| Toby Walsh Propagating Conjunctions of AllDifferent Constraints Proceedings of the AAAI Conference on Artificial Intelligence, 24 (2010) 27.

Christian Bessiere|| George Katsirelos|| Nina Narodytska|| Claude-Guy Quimper|| Toby Walsh Propagating Conjunctions of AllDifferent Constraints AAAI 2010, 27.

Christian Bessiere|| George Katsirelos|| Nina Narodytska|| Claude-Guy Quimper|| Toby Walsh (2010). Propagating Conjunctions of AllDifferent Constraints. Proceedings of the AAAI Conference on Artificial Intelligence, 24, 27.

Christian Bessiere|| George Katsirelos|| Nina Narodytska|| Claude-Guy Quimper|| Toby Walsh. Propagating Conjunctions of AllDifferent Constraints. Proceedings of the AAAI Conference on Artificial Intelligence, 24 2010 p.27.

Christian Bessiere|| George Katsirelos|| Nina Narodytska|| Claude-Guy Quimper|| Toby Walsh. 2010. Propagating Conjunctions of AllDifferent Constraints. "Proceedings of the AAAI Conference on Artificial Intelligence, 24". 27.

Christian Bessiere|| George Katsirelos|| Nina Narodytska|| Claude-Guy Quimper|| Toby Walsh. (2010) "Propagating Conjunctions of AllDifferent Constraints", Proceedings of the AAAI Conference on Artificial Intelligence, 24, p.27

Christian Bessiere|| George Katsirelos|| Nina Narodytska|| Claude-Guy Quimper|| Toby Walsh, "Propagating Conjunctions of AllDifferent Constraints", AAAI, p.27, 2010.

Christian Bessiere|| George Katsirelos|| Nina Narodytska|| Claude-Guy Quimper|| Toby Walsh. "Propagating Conjunctions of AllDifferent Constraints". Proceedings of the AAAI Conference on Artificial Intelligence, 24, 2010, p.27.

Christian Bessiere|| George Katsirelos|| Nina Narodytska|| Claude-Guy Quimper|| Toby Walsh. "Propagating Conjunctions of AllDifferent Constraints". Proceedings of the AAAI Conference on Artificial Intelligence, 24, (2010): 27.

Christian Bessiere|| George Katsirelos|| Nina Narodytska|| Claude-Guy Quimper|| Toby Walsh. Propagating Conjunctions of AllDifferent Constraints. AAAI[Internet]. 2010[cited 2023]; 27.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
Artificial Intelligence 1900 Embarcadero Road, Suite
101, Palo Alto, California 94303 All Rights Reserved

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