Some Properties of the Zero-Divisor Graphs of Idealization Ring R(+)M

Manal Al-Labadi and Naeem Jan

Mathematical Problems in Engineering, 2022, vol. 2022, 1-6

Abstract: The aim of this article to follow the properties of the zero-divisor graph of special idealization ring. We study the wiener index of the zero-divisors graph of some special idealization ring R(+)M and find the clique number of the graph Γ(R(+)M) is ω (Γ(R(+)M)) = |M| − 1, where R is an integral domain. We also discuss when the zero-divisors graph of some special idealization ring R(+)M are Hamiltonian graph.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6888963

DOI: 10.1155/2022/6888963

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