The first Zagreb index of the zero divisor graph for the ring of integers modulo 2kq

The topological index provides information about the overall structure of a molecular graph and is often used in quantitative studies of chemical compounds. Consider Γ be a simple graph, consisting of a collection of edges and vertices. The first Zagreb index of a graph is calculated by adding the s...

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Published in:AIP Conference Proceedings
Main Author: Ismail G.S.; Sarmin N.H.; Alimon N.I.; Maulana F.
Format: Conference paper
Language:English
Published: American Institute of Physics 2024
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85202605123&doi=10.1063%2f5.0225001&partnerID=40&md5=8067eea5204f8d8cc97a55afc00a7b90
id 2-s2.0-85202605123
spelling 2-s2.0-85202605123
Ismail G.S.; Sarmin N.H.; Alimon N.I.; Maulana F.
The first Zagreb index of the zero divisor graph for the ring of integers modulo 2kq
2024
AIP Conference Proceedings
3189
1
10.1063/5.0225001
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85202605123&doi=10.1063%2f5.0225001&partnerID=40&md5=8067eea5204f8d8cc97a55afc00a7b90
The topological index provides information about the overall structure of a molecular graph and is often used in quantitative studies of chemical compounds. Consider Γ be a simple graph, consisting of a collection of edges and vertices. The first Zagreb index of a graph is calculated by adding the squared degrees of every vertex in the graph. Meanwhile, the zero divisor graph of a ring R, denoted by Γ(R), is defined as a graph where its vertices are zero divisors of R and two distinct vertices a and b are adjacent if their product is equal to zero. For q is an odd prime number and k is a positive integer, the first Zagreb index of the zero divisor graph for the commutative ring of integers modulo 2kq is determined in this paper. An example is given to illustrate the main results. © 2024 Author(s).
American Institute of Physics
0094243X
English
Conference paper

author Ismail G.S.; Sarmin N.H.; Alimon N.I.; Maulana F.
spellingShingle Ismail G.S.; Sarmin N.H.; Alimon N.I.; Maulana F.
The first Zagreb index of the zero divisor graph for the ring of integers modulo 2kq
author_facet Ismail G.S.; Sarmin N.H.; Alimon N.I.; Maulana F.
author_sort Ismail G.S.; Sarmin N.H.; Alimon N.I.; Maulana F.
title The first Zagreb index of the zero divisor graph for the ring of integers modulo 2kq
title_short The first Zagreb index of the zero divisor graph for the ring of integers modulo 2kq
title_full The first Zagreb index of the zero divisor graph for the ring of integers modulo 2kq
title_fullStr The first Zagreb index of the zero divisor graph for the ring of integers modulo 2kq
title_full_unstemmed The first Zagreb index of the zero divisor graph for the ring of integers modulo 2kq
title_sort The first Zagreb index of the zero divisor graph for the ring of integers modulo 2kq
publishDate 2024
container_title AIP Conference Proceedings
container_volume 3189
container_issue 1
doi_str_mv 10.1063/5.0225001
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85202605123&doi=10.1063%2f5.0225001&partnerID=40&md5=8067eea5204f8d8cc97a55afc00a7b90
description The topological index provides information about the overall structure of a molecular graph and is often used in quantitative studies of chemical compounds. Consider Γ be a simple graph, consisting of a collection of edges and vertices. The first Zagreb index of a graph is calculated by adding the squared degrees of every vertex in the graph. Meanwhile, the zero divisor graph of a ring R, denoted by Γ(R), is defined as a graph where its vertices are zero divisors of R and two distinct vertices a and b are adjacent if their product is equal to zero. For q is an odd prime number and k is a positive integer, the first Zagreb index of the zero divisor graph for the commutative ring of integers modulo 2kq is determined in this paper. An example is given to illustrate the main results. © 2024 Author(s).
publisher American Institute of Physics
issn 0094243X
language English
format Conference paper
accesstype
record_format scopus
collection Scopus
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