Total perfect codes in graphs realized by commutative rings

Let $R$ be a commutative ring with unity not equal to zero and let $\Gamma(R)$ be a zero-divisor graph realized by $R$. For a simple, undirected, connected graph $G = (V, E)$, a {\it total perfect code} denoted by $C(G)$ in $G$ is a subset $C(G) \subseteq V(G)$ such that $|N(v) \cap C(G)| = 1$ for a...

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Bibliographic Details
Main Author: Rameez Raja
Format: Article
Language:English
Published: University of Isfahan 2022-12-01
Series:Transactions on Combinatorics
Subjects:
Online Access:https://toc.ui.ac.ir/article_26081_b310028bfbd7cbc36e3ad3df8708b1fd.pdf