English

The NNN-Property of Cyclic Groups

Combinatorics 2019-08-26 v1

Abstract

A Cayley graph is said to be an NNN-graph if it is both normal and non-normal for isomorphic regular groups, and a group has the NNN-property if there exists an NNN-graph for it. In this paper we investigate the NNN-property of cyclic groups, and show that cyclic groups do not have the NNN-property.

Keywords

Cite

@article{arxiv.1908.08838,
  title  = {The NNN-Property of Cyclic Groups},
  author = {Michael Giudici and Luke Morgan and Yian Xu},
  journal= {arXiv preprint arXiv:1908.08838},
  year   = {2019}
}
R2 v1 2026-06-23T10:55:14.489Z