Practical graph isomorphism, II

Adolfo Piperno; Brendan D. McKay

Practical graph isomorphism, II

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arxiv 1301.1493 v1 pith:7UIIQ3NB submitted 2013-01-08 cs.DM math.CO

Brendan D. McKay , Adolfo Piperno This is my paper

classification cs.DMmath.CO

keywords graphisomorphismpracticalapproachbestblissbringcalled

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We report the current state of the graph isomorphism problem from the practical point of view. After describing the general principles of the refinement-individualization paradigm and proving its validity, we explain how it is implemented in several of the key programs. In particular, we bring the description of the best known program nauty up to date and describe an innovative approach called Traces that outperforms the competitors for many difficult graph classes. Detailed comparisons against saucy, Bliss and conauto are presented.

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