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Some properties of the maximal graph related to co-ideal of a commutative semiring

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Title: Some properties of the maximal graph related to co-ideal of a commutative semiring

Authors: Yahya Talebi, Atefeh Darzi

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2020

Volume: 16

Issue: 1

Language: English

Keywords: maximal graphcommutative semiringco-ideal

Categories
Graph Theory (455) Commutative Algebra (9) Semirings (4) Algebra (130) Mathematics (5170)

Abstract

For a commutative semiring R with non-zero identity, the maximal graph of R, denoted by MG(R), is the graph whose vertices are all elements of UM(R) with two distinct vertices joined by an edge when there is a maximal co-ideal that contains both of them. In this paper, we study some properties of maximal graph such as planarity, radius, splitting and domination number.

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