DOI: https://doi.org/10.14710/jfma.v0i0.20269

THE CHEMICAL TOPOLOGICAL GRAPH ASSOCIATED WITH THE NILPOTENT GRAPH OF A MODULO RING OF PRIME POWER ORDER

Deny Putra Malik scopus  -  Universitas Mataram, Indonesia
Muhammad Naoval Husni  -  Universitas Mataram, Indonesia
Miftahurrahman Miftahurrahman  -  Faculty of Mathematics and Natural Sciences, Universitas Mataram, Mataram, Indonesia
*I Gede Adhitya Wisnu Wardhana orcid scopus  -  Universitas Mataram, Indonesia
Ghazali Semil @ Ismail orcid  -  Universiti Teknologi MARA Johor Branch, Malaysia

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Abstract
Chemical topological graph theory constitutes a subdomain within mathematical chemistry that leverages graph theory to model chemical molecules.  In this context, a chemical graph serves as a graphical representation of molecular structures. Specifically, a chemical molecule is portrayed as a graph wherein atoms are denoted as vertices, and the interatomic bonds are represented as edges within the graph. Various molecular properties are intricately linked to the topological indices of these molecular graphs. Notably, commonly employed indices encompass the Wiener Index, the Gutman Index, and the Zagreb Index.  This study is directed towards elucidating the numerical invariance and topological indices inherent to a nilpotent graph originating from a modulo integer ring with prime order. Consequently, the investigation seeks to discern how the Wiener Index, the Zagreb Index, and other characteristics of the nilpotent graph manifest within a ring of integers modulo prime order powers.
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Keywords: topological indices; nilpotent graph; integer modulo ring

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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