Title
An algorithm portfolio for the sub-graph isomorphism problem
Abstract
This work presents an algorithm for the sub-graph isomorphism problem based on a new pruning technique for directed graphs. During the tree search, the method checks if a new association between two vertices is compatible by considering the structure of their local neighborhoods, represented as the number of limited-length paths of different type originating from each vertex. In addition, randomized versions of the algorithms are studied experimentally by deriving their runtime distributions. Finally, algorithm portfolios consisting of multiple instances of the same randomized algorithm are proposed and analyzed. The experimental results on benchmark graphs demonstrate that the new pruning method is competitive w.r.t. recently proposed techniques. Significantly better results are obtained on sparse graphs. Furthermore, even better results are obtained by the portfolios, when both the average and standard deviation of solution times are considered.
Year
DOI
Venue
2007
10.1007/978-3-540-74446-7_8
SLS
Keywords
Field
DocType
randomized version,randomized algorithm,competitive w,new association,better result,benchmark graph,method check,algorithm portfolio,sub-graph isomorphism problem,new pruning technique,new pruning method,standard deviation,graph isomorphism,directed graph
Randomized algorithm,Graph isomorphism,Vertex (geometry),Graph homomorphism,Algorithm,Directed graph,Hopcroft–Karp algorithm,Isomorphism,Mathematics,Graph isomorphism problem
Conference
Volume
ISSN
Citations 
4638
0302-9743
4
PageRank 
References 
Authors
0.49
6
2
Name
Order
Citations
PageRank
Roberto Battiti11937262.40
Franco Mascia2967.24