English

Pancyclic zero divisor graph over the ring $\mathbb{Z}_n[i]$

Combinatorics 2018-06-22 v1

Abstract

Let Γ(Zn[i])\Gamma(\mathbb{Z}_n[i]) be the zero divisor graph over the ring Zn[i]\mathbb{Z}_n[i]. In this article, we study pancyclic properties of Γ(Zn[i])\Gamma(\mathbb{Z}_n[i]) and Γ(Zn[i])\overline{\Gamma(\mathbb{Z}_n[i])} for different nn. Also, we prove some results in which L(Γ(Zn[i]))L(\Gamma(\mathbb{Z}_n[i])) and L(Γ(Zn[i]))\overline{L(\Gamma(\mathbb{Z}_n[i]))} to be pancyclic for different values of nn.

Keywords

Cite

@article{arxiv.1806.08261,
  title  = {Pancyclic zero divisor graph over the ring $\mathbb{Z}_n[i]$},
  author = {Ravindra Kumar and Om Prakash},
  journal= {arXiv preprint arXiv:1806.08261},
  year   = {2018}
}
R2 v1 2026-06-23T02:37:22.377Z