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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American Institute of Physics
2024
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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 |
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record_format |
scopus |
collection |
Scopus |
_version_ |
1812871794480119808 |