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- W292687187 abstract "In this paper, we study the isomorphism problem of Cayley permutation graphs. We obtain a necessary and sufficient condition that two Cayley permutation graphs are isomrphic by a direction-preserving and color-preserving (positive/negative) natural isomorphism. The result says that if a graph G is the Cayley graph for a group $Gamma$ then the number of direction-preserving and color-preserving positive natural isomorphism classes of Cayley permutation graphs of G is the number of double cosets of $Gamma^ell$ in $S_Gamma$, where $S_Gamma$ is the group of permutations on the elements of $Gamma and Gamma^ell$ is the group of left translations by the elements of $Gamma$. We obtain the number of the isomorphism classes by counting the double cosets." @default.
- W292687187 created "2016-06-24" @default.
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- W292687187 date "1997-01-01" @default.
- W292687187 modified "2023-09-23" @default.
- W292687187 title "ISOMORPHISM CLASSES OF CAYLEY PERMUTATION GRAPHS" @default.
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