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The difficulty of testing for isomorphism against a graph that is given in advance

Published:13 June 2004Publication History

ABSTRACT

Motivated by a question from [6], we investigate the number of queries required for testing that an input graph G is isomorphic to a graph H that is given in advance. Our main result is that the more "complex" H is, the more queries it takes to test an input graph G for the property of being isomorphic to H. This is provided in terms of an upper bound and a lower bound on the number of queries, giving a relation between this number and a natural measure of the complexity of H.

References

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            cover image ACM Conferences
            STOC '04: Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
            June 2004
            660 pages
            ISBN:1581138520
            DOI:10.1145/1007352

            Copyright © 2004 ACM

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            Publication History

            • Published: 13 June 2004

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