ON THE TOPOLOGICAL INDICES OF ZERO DIVISOR GRAPHS OF SOME COMMUTATIVE RINGS
The zero divisor graph is the most basic way of representing an algebraic structure as a graph. For any commutative ring R, each element is a vertex on the zero divisor graph and two vertices are defined as adjacent if and only if the product of those vertices equals zero. In this research, we deter...
| Published in: | Journal of Applied Mathematics and Informatics |
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| Format: | Article |
| Language: | English |
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Korean Society for Computational and Applied Mathematics
2024
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85195682736&doi=10.14317%2fjami.2024.663&partnerID=40&md5=47ed7e9d3a031a3c215b98446c964ec3 |
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2-s2.0-85195682736 Maulana F.; Aditya M.Z.; Suwastika E.; Muchtadi-Alamsyah I.; Alimon N.I.; Sarmin N.H. ON THE TOPOLOGICAL INDICES OF ZERO DIVISOR GRAPHS OF SOME COMMUTATIVE RINGS 2024 Journal of Applied Mathematics and Informatics 42 3 10.14317/jami.2024.663 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85195682736&doi=10.14317%2fjami.2024.663&partnerID=40&md5=47ed7e9d3a031a3c215b98446c964ec3 The zero divisor graph is the most basic way of representing an algebraic structure as a graph. For any commutative ring R, each element is a vertex on the zero divisor graph and two vertices are defined as adjacent if and only if the product of those vertices equals zero. In this research, we determine some topological indices such as the Wiener index, the edgeWiener index, the hyper-Wiener index, the Harary index, the first Zagreb index, the second Zagreb index, and the Gutman index of zero divisor graph of integers modulo prime power and its direct product. © 2024 KSCAM. Korean Society for Computational and Applied Mathematics 27341194 English Article |
| author |
Maulana F.; Aditya M.Z.; Suwastika E.; Muchtadi-Alamsyah I.; Alimon N.I.; Sarmin N.H. |
| spellingShingle |
Maulana F.; Aditya M.Z.; Suwastika E.; Muchtadi-Alamsyah I.; Alimon N.I.; Sarmin N.H. ON THE TOPOLOGICAL INDICES OF ZERO DIVISOR GRAPHS OF SOME COMMUTATIVE RINGS |
| author_facet |
Maulana F.; Aditya M.Z.; Suwastika E.; Muchtadi-Alamsyah I.; Alimon N.I.; Sarmin N.H. |
| author_sort |
Maulana F.; Aditya M.Z.; Suwastika E.; Muchtadi-Alamsyah I.; Alimon N.I.; Sarmin N.H. |
| title |
ON THE TOPOLOGICAL INDICES OF ZERO DIVISOR GRAPHS OF SOME COMMUTATIVE RINGS |
| title_short |
ON THE TOPOLOGICAL INDICES OF ZERO DIVISOR GRAPHS OF SOME COMMUTATIVE RINGS |
| title_full |
ON THE TOPOLOGICAL INDICES OF ZERO DIVISOR GRAPHS OF SOME COMMUTATIVE RINGS |
| title_fullStr |
ON THE TOPOLOGICAL INDICES OF ZERO DIVISOR GRAPHS OF SOME COMMUTATIVE RINGS |
| title_full_unstemmed |
ON THE TOPOLOGICAL INDICES OF ZERO DIVISOR GRAPHS OF SOME COMMUTATIVE RINGS |
| title_sort |
ON THE TOPOLOGICAL INDICES OF ZERO DIVISOR GRAPHS OF SOME COMMUTATIVE RINGS |
| publishDate |
2024 |
| container_title |
Journal of Applied Mathematics and Informatics |
| container_volume |
42 |
| container_issue |
3 |
| doi_str_mv |
10.14317/jami.2024.663 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85195682736&doi=10.14317%2fjami.2024.663&partnerID=40&md5=47ed7e9d3a031a3c215b98446c964ec3 |
| description |
The zero divisor graph is the most basic way of representing an algebraic structure as a graph. For any commutative ring R, each element is a vertex on the zero divisor graph and two vertices are defined as adjacent if and only if the product of those vertices equals zero. In this research, we determine some topological indices such as the Wiener index, the edgeWiener index, the hyper-Wiener index, the Harary index, the first Zagreb index, the second Zagreb index, and the Gutman index of zero divisor graph of integers modulo prime power and its direct product. © 2024 KSCAM. |
| publisher |
Korean Society for Computational and Applied Mathematics |
| issn |
27341194 |
| language |
English |
| format |
Article |
| accesstype |
|
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1809678475418664960 |