Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order

In chemistry, graph theory has been widely utilized to address molecular problems, with numerous applications in graph theory and ring theory within this field. One of these applications involves topological indices that represent chemical structures with numerical values. Various types of topologic...

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Main Authors: Didit Satriawan, Qurratul Aini, Abdurahim, Fariz Maulana, I Gede Adhitya Wisnu Wardhana
Format: Article
Language:English
Published: Universitas Airlangga 2024-10-01
Series:Contemporary Mathematics and Applications (ConMathA)
Online Access:https://e-journal.unair.ac.id/CONMATHA/article/view/54737
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author Didit Satriawan
Qurratul Aini
Abdurahim
Fariz Maulana
I Gede Adhitya Wisnu Wardhana
author_facet Didit Satriawan
Qurratul Aini
Abdurahim
Fariz Maulana
I Gede Adhitya Wisnu Wardhana
author_sort Didit Satriawan
collection DOAJ
description In chemistry, graph theory has been widely utilized to address molecular problems, with numerous applications in graph theory and ring theory within this field. One of these applications involves topological indices that represent chemical structures with numerical values. Various types of topological indices exist, including the Wiener index, the first Zagreb index, and the hyper-Wiener index. In the context of this research, the values of the Wiener index, the first Zagreb index, and the hyper-Wiener index for zero-divisor graphs on the ring of integers modulo a prime power order will be explored through a literature review and conjecture.
format Article
id doaj-art-976e5a2538ec4bac97b656ce4aebe7d7
institution OA Journals
issn 2686-5564
language English
publishDate 2024-10-01
publisher Universitas Airlangga
record_format Article
series Contemporary Mathematics and Applications (ConMathA)
spelling doaj-art-976e5a2538ec4bac97b656ce4aebe7d72025-08-20T02:19:37ZengUniversitas AirlanggaContemporary Mathematics and Applications (ConMathA)2686-55642024-10-0162728210.20473/conmatha.v6i2.5473752899Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power OrderDidit Satriawan0Qurratul Aini1Abdurahim2Fariz Maulana3I Gede Adhitya Wisnu Wardhana4https://orcid.org/0000-0002-1983-1619Universitas MataramUniversitas MataramUniversitas MataramUniversitas MataramUniversitas MataramIn chemistry, graph theory has been widely utilized to address molecular problems, with numerous applications in graph theory and ring theory within this field. One of these applications involves topological indices that represent chemical structures with numerical values. Various types of topological indices exist, including the Wiener index, the first Zagreb index, and the hyper-Wiener index. In the context of this research, the values of the Wiener index, the first Zagreb index, and the hyper-Wiener index for zero-divisor graphs on the ring of integers modulo a prime power order will be explored through a literature review and conjecture.https://e-journal.unair.ac.id/CONMATHA/article/view/54737
spellingShingle Didit Satriawan
Qurratul Aini
Abdurahim
Fariz Maulana
I Gede Adhitya Wisnu Wardhana
Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order
Contemporary Mathematics and Applications (ConMathA)
title Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order
title_full Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order
title_fullStr Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order
title_full_unstemmed Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order
title_short Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order
title_sort molecular topology index of a zero divisor graph on a ring of integers modulo prime power order
url https://e-journal.unair.ac.id/CONMATHA/article/view/54737
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