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Proceedings of the London Mathematical Society (1)

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A solution of the isomorphism problem for circulant graphs
M. Muzychuk
Journal:

Proceedings of the London Mathematical Society / Volume 88 / Issue 1 / January 2004

Published online by Cambridge University Press:

13 January 2004, pp. 1-41

Print publication:

January 2004
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The isomorphism problem for circulant graphs (Cayley graphs over the cyclic group) which has been open since 1967 is completely solved in this paper. The main result of the paper gives an efficient isomorphism criterion for circulant graphs of arbitrary order. This result also solves an isomorphism problem for colored circulant graphs and some classes of cyclic codes.