INDEPENDENT SETS OF SOME GRAPHS ASSOCIATED TO COMMUTATIVE RINGS

Alikhani, Saeid; Mirvakili, Saeed

INDEPENDENT SETS OF SOME GRAPHS ASSOCIATED TO COMMUTATIVE RINGS

Document Type : Research Paper

Authors

Saeid Alikhani ¹
Saeed Mirvakili ²

¹ Yazd University

² Payame Noor University

Abstract

Let $G=(V,E)$ be a simple graph. A set $S\subseteq V$ is
independent set of $G$, if no two vertices of $S$ are adjacent.
The independence number $\alpha(G)$ is the size of a maximum
independent set in the graph.
In this paper we study and characterize the independent sets of
the zero-divisor graph $\Gamma(R)$ and ideal-based zero-divisor graph
$\Gamma_I(R)$
of a commutative ring $R$.

Keywords

References

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