Geodesic
Isomorphisms of generalized Cayley graphs
Ars Mathematica Contemporanea, Tome 15 (2018) no. 2, pp. 407-424.

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In this paper, we investigate the isomorphism problems of the generalized Cayley graphs, which are generalizations of the traditional Cayley graphs. We find that there are two types of natural isomorphisms for the generalized Cayley graphs. We also study the GCI-groups among the generalized Cayley graphs, and the Cayley regressions of some groups. We mainly showed that, for an odd prime power n, Z2n (resp. D2n) is a restricted GCI-group if D2n (resp. Z2n) is a CI-group. We also obtain that the cyclic group of order 2n is a 4-quasi-Cayley regression if and only if n = 3.
DOI : 10.26493/1855-3974.1345.ae6
Keywords: Generalized Cayley graph, natural isomorphism, GCI-group, Cayley regression 
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Xu Yang; Weijun Liu; Lihua Feng. Isomorphisms of generalized Cayley graphs. Ars Mathematica Contemporanea, Tome 15 (2018) no. 2, pp. 407-424. doi : 10.26493/1855-3974.1345.ae6. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1345.ae6/

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