Line graphs of monogenic semigroup graphs
type: Item
instance of: scholarly article
title: Line graphs of monogenic semigroup graphs
zbMATH Open document ID: 1477.05154
DOI: 10.1155/2021/6630011
author: Yasar Nacaroglu
author: Sedat Pak
author: Nihat Akgunes
published in: Journal of Mathematics
publication date: 2021-06-25T00:00:00Z
review text: Summary: The concept of monogenic semigroup graphs \(\Gamma (\mathcal{S}_M)\) is firstly introduced by \textit{K. Ch. Das} et al. [J. Inequal. Appl. 2013, Paper No. 44, 13 p. (2013; Zbl 1283.05067)] based on zero divisor graphs. In this study, we mainly discuss the some graph properties over the line graph \(L (\Gamma (\mathcal{S}_M))\) of \(\Gamma (\mathcal{S}_M)\). In detail, we prove the existence of graph parameters, namely, radius, diameter, girth, maximum degree, minimum degree, chromatic number, clique number, and domination number over \(L (\Gamma (\mathcal{S}_M))\).
Mathematics Subject Classification ID: 05C76
Mathematics Subject Classification ID: 05C25
zbMATH DE Number: 7363434
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6630011
OpenAlex ID: W3156395318
cites work: Coloring of commutative rings
cites work: On the Zero-Divisor Graph of a Ring
cites work: Beck's coloring of a commutative ring
cites work: The zero-divisor graph of a commutative ring
cites work: The zero-divisor graph of a commutative semigroup
cites work: Zero divisor graphs of semigroups.
cites work: On a graph of monogenic semigroups
cites work: Some properties on the lexicographic product of graphs obtained by monogenic semigroups
cites work: Q5837982
cites work: Some properties of line digraphs
cites work: Topological indices of the line graph of subdivision graphs and their Schur-bounds
cites work: On the Zagreb indices of the line graphs of the subdivision graphs
cites work: Handbook of Graph Theory
cites work: Radius, diameter, and minimum degree
cites work: A new bound of radius with irregularity index
cites work: Normal hypergraphs and the perfect graph conjecture
description: scientific article; zbMATH DE number 7363434