Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9512146 | Discrete Mathematics | 2005 | 4 Pages |
Abstract
Let Î and Î be finite groups. We give a sufficient condition to prove that every Cayley graph of Î is isomorphic to a Cayley graph of Î. As an application of this result, it is proved that every Cayley graph of a certain group of order 12 is isomorphic to a Cayley graph of the dihedral group of order 12. Analogously, it is proved that every Cayley graph of a cyclic group of order 2k is isomorphic to a Cayley graph of the dihedral group Dk, and the converse holds if and only if kâ{2,3,5}. For Cayley digraphs it is proved that every Cayley digraph of Z2k, generated with Hâ{2α}α=1k-1, is isomorphic to a Cayley digraph in Dk.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
J.G. Fernandes, R.E. Giudici,