English

Domination parameters and diameter of Abelian Cayley graphs

Combinatorics 2020-11-12 v1

Abstract

Using the domination parameters of Cayley graphs constructed out of Zp×Zm\mathbb{Z}_{p}\times \mathbb{Z}_{m}, where m{pα,pαqβ,pαqβrγ},m\in\{p^{\alpha}, p^{\alpha}q^{\beta}, p^{\alpha}q^{\beta}r^{\gamma}\}, in this paper we are discussing about the total and connected domination number and diameter of these Cayley graphs.

Cite

@article{arxiv.2011.05754,
  title  = {Domination parameters and diameter of Abelian Cayley graphs},
  author = {Mohammad A. Iranmanesh and Nasrin Moghaddami},
  journal= {arXiv preprint arXiv:2011.05754},
  year   = {2020}
}
R2 v1 2026-06-23T20:04:55.456Z