Graph properties based filtering

  • Authors:
  • Nicolas Beldiceanu;Mats Carlsson;Sophie Demassey;Thierry Petit

  • Affiliations:
  • École des Mines de Nantes, LINA FRE CNRS 2729, Nantes, France;SICS, Kista, Sweden;École des Mines de Nantes, LINA FRE CNRS 2729, Nantes, France;École des Mines de Nantes, LINA FRE CNRS 2729, Nantes, France

  • Venue:
  • CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
  • Year:
  • 2006

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Abstract

This article presents a generic filtering scheme, based on the graph description of global constraints. This description is defined by a network of binary constraints and a list of elementary graph properties: each solution of the global constraint corresponds to a subgraph of the initial network, retaining only the satisfied binary constraints, and which fulfills all the graph properties. The graph-based filtering identifies the arcs of the network that belong or not to the solution subgraphs. The objective is to build, besides a catalog of global constraints, also a list of systematic filtering rules based on a limited set of graph properties. We illustrate this principle on some common graph properties and provide computational experiments of the effective filtering on the group constraint.