GCI-groups in the alternating groups

Xu Yang, Weijun Liu, Jing Chen and Lihua Feng

Applied Mathematics and Computation, 2017, vol. 303, issue C, 42-47

Abstract: The concept of generalized Cayley graphs was first introduced by Marušič et al. (1992). In this paper, we will study the isomorphism problem of generalized Cayley graphs. Similar to the concept of CI-groups corresponding to Cayley graphs, we define the so-called GCI-groups corresponding to generalized Cayley graphs. The main result we show is that the alternating group An is a GCI-group if and only if n=4.

Keywords: Generalized Cayley graphs; Cayley graphs; GCI-groups (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:303:y:2017:i:c:p:42-47

DOI: 10.1016/j.amc.2017.01.022

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