arXiv Analytics

Sign in

arXiv:1311.2984 [math.GR]AbstractReferencesReviewsResources

Edge-maximality of power graphs of finite cyclic groups

Brian Curtin, Gholam Reza Pourgholi

Published 2013-11-12, updated 2014-11-10Version 3

We show that among all finite groups of any given order, the cyclic group of that order has the maximum number of edges in its power graph. Contains corrections to published version.

Comments: second set of corrections to technical lemmas, no changes to main result
Categories: math.GR, math.CO
Subjects: 05C25, 20F99
Related articles: Most relevant | Search more
arXiv:1402.1322 [math.GR] (Published 2014-02-06)
Embeddings of (proper) power graphs of finite groups
arXiv:1501.02907 [math.GR] (Published 2015-01-13)
Some results in a new power graphs in finite groups
arXiv:1409.3756 [math.GR] (Published 2014-09-12)
On the Dynamics of Endomorphisms of Finite Groups

Links

Toolbox