On the connectivity of Γ(R_1 ◦ R_2)

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Ghasemi Khangahi Zeinab; Varmazyar Rezvan

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Journal Paper

Paper Information

Journal: Journal of Discrete Mathematics and its Applications Year:2024 | Volume:9 | Issue:1 Page(s): 73-79

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Information Journal Paper

Title

On the connectivity of Γ(R_1 ◦ R_2)

Author(s)

Ghasemi Khangahi Zeinab | Varmazyar Rezvan | Issue Writer Certificate

Keywords

lexicographic product

connectivity

vertex-cut

zero-divisor graph

Abstract

The graph Γ(R1◦R2) of the lexicographic product of two commutative rings R1; R2 is considered. It was shown that Γ(R1 ◦ R2) is connectedand diam(Γ(R1 ◦ R2)) ≤ 2. We get the several expressions for finding theconnectivity κ(Γ(R1 ◦ R2)) when certain conditions are given

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