Title
Solving subgraph isomorphism problems with constraint programming
Abstract
The subgraph isomorphism problem consists in deciding if there exists a copy of a pattern graph in a target graph. We introduce in this paper a global constraint and an associated filtering algorithm to solve this problem within the context of constraint programming. The main idea of the filtering algorithm is to label every node with respect to its relationships with other nodes of the graph, and to define a partial order on these labels in order to express compatibility of labels for subgraph isomorphism. This partial order over labels is used to filter domains. Labelings can also be strengthened by adding information from the labels of neighbors. Such a strengthening can be applied iteratively until a fixpoint is reached. Practical experiments illustrate that our new filtering approach is more effective on difficult instances of scale free graphs than state-of-the-art algorithms and other constraint programming approaches.
Year
DOI
Venue
2010
10.1007/s10601-009-9074-3
Constraints
Keywords
Field
DocType
Subgraph isomorphism,Global constraint,Filtering algorithm
Discrete mathematics,Constraint satisfaction,Mathematical optimization,Maximum common subgraph isomorphism problem,Graph isomorphism,Constraint graph,Constraint programming,Induced subgraph isomorphism problem,Constraint logic programming,Mathematics,Subgraph isomorphism problem
Journal
Volume
Issue
ISSN
15
3
1383-7133
Citations 
PageRank 
References 
32
1.20
16
Authors
3
Name
Order
Citations
PageRank
Stéphane Zampelli1443.37
Yves Deville2987110.84
Christine Solnon342332.61