@Article{JMS-54-427,
author = {Selvakumar , K.Subajini , M. and Pirzada , S.},
title = {Domination in Generalized Cayley Graph of Commutative Rings},
journal = {Journal of Mathematical Study},
year = {2021},
volume = {54},
number = {4},
pages = {427--434},
abstract = {<p style="text-align: justify;">Let $R$ be a commutative ring with identity and $n$ be a natural number. The generalized Cayley graph of $R$, denoted by $Γ^n_R$, is the graph whose vertex set is $R^n$\{0} and two distinct vertices $X$ and $Y$ are adjacent if and only if there exists an $n×n$ lower triangular matrix $A$ over $R$ whose entries on the main diagonal are non-zero such that $AX^T=Y^T$ or $AY^T=X^T$, where for a matrix $B$, $B^T$ is the matrix transpose of $B$. In this paper, we give some basic properties of&nbsp;$Γ^n_R$ and we determine the domination parameters of&nbsp;$Γ^n_R$.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v54n4.21.07},
url = {http://global-sci.org/intro/article_detail/jms/19296.html}
}