GCI-property of some groups

Qianfen Liao and Weijun Liu

Applied Mathematics and Computation, 2023, vol. 438, issue C

Abstract: In this paper, firstly, we determine the local 2-GCI-property and 2−GCI-property of the cyclic group. Then, for the dihedral group D2n, we prove that it has local GCI-property if and only if n is an odd prime or 9. Further, the dihedral group D2n cannot have GCI-property. Moreover, we discuss the GCI-property of the elementary abelian group, the dicyclic group and the semi-dihedral group.

Keywords: Generalized Cayley graph; Cayley graph; GCI-property; Local GCI-property (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:438:y:2023:i:c:s009630032200649x

DOI: 10.1016/j.amc.2022.127575

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