Some Results on the Domination Number of a Zero-divisor Graph

Canadian mathematical bulletin

Sima Kiani²  Hamid Reza Maimani³  Reza Nikandish¹ 

[1] Department of Mathematics, Jundi-Shapur University of Technology, Dezful,Iran;Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran;Mathematics Section, Department of Basic Sciences, Shahid Rajaee Teacher Training University, Tehran, Iran,

关键词: zero-divisor graph;    domination number;   

DOI  :  10.4153/CMB-2014-027-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper, we investigate the domination, total domination andsemi-total domination numbers of a zero-divisor graph of acommutative Noetherian ring. Also, some relations between thedomination numbers of $Gamma(R/I)$ and $Gamma_I(R)$, and thedomination numbers of $Gamma(R)$ and $Gamma(R[x,alpha,delta])$,where $R[x,alpha,delta]$ is the Ore extension of $R$, are studied.

【 授权许可】

Unknown