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Rensink, A.
(2007)
Isomorphism Checking in GROOVE.
In: Graph-Based Tools (GraBaTs), 21-22 Sep 2006, Natal, Brazil.
Electronic Communications of the EASST 1.
European Association of Software Science and Technology.
ISSN 1863-2122
Full text available as:
Official URL: http://eceasst.cs.tu-berlin.de/index.php/eceasst/article/view/77/84  AbstractIn this paper we show how isomorphism checking can be used as an effective technique for symmetry reduction in graph-based state spaces, despite the inherent complexity of the isomorphism problem. In particular, we show how one can use element-based graph certificate mappings to help in recognising nonisomorphic graphs. These are mappings that assign to all elements (edges and nodes) of a given graph a number that is invariant under isomorphism, in the sense that any isomorphism between graphs is sure to preserve this number. The individual element certificates of a graph give rise to a certificate for the entire graph, which can be used as a hash key for the graph; hence, this yields a heuristic to decide whether a graph has an isomorphic representative in a previously computed set of graphs. We report some experiments that show the viability of this method.
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