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Browsing by Author "Rehman, Muhammad Aziz Ur"

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    M-Polynomial and Degree-Based Topological Indices and Line Graph of Hex Board Graph
    (Sami Publishing Co-spc, 2020) Amin, Shahid; Rehman, Muhammad Aziz Ur; Aldemir, Mehmet Serif; Cancan, Murat; Farahani, Mohammad Reza
    A topological index (TI) is a positive real number associated with the graph of molecule and remains invariant up to graph isomorphism. Until now, several TIs are defined and there are mainly three types: Degree depending, distance depending and spectrum depending. All these TIs found huge applications in pharmacy, theoretical chemistry and especially in QSPR/QSAR research. The aim of our study was to compute degree depending TIs for Hex board graph and its line graph. We firstly computed M-polynomial and by applying calculus, we computed several degree-based topological indices of Hex board graph and its line graph.
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    Multiplicative Degree-Based Topological Indices and Line Graph of Hex Board Graph
    (Sami Publishing Co-spc, 2020) Amin, Shahid; Rehman, Muhammad Aziz Ur; Farahani, Mohammad Reza; Cancan, Murat; Aldemir, Mehmet Serif
    Mathematical chemistry is the area of research in mathematics, in which problems of chemistry are solved by utilizing techniques of mathematics. In mathematical chemistry, a number is assigned to molecular graph of compound called topological index (TI) which depends on the topology of compound and helps us in deciding properties of concerned compound. TIs usually depend on the degree of vertices in a graph, distances and spectrum, among which degree depending TIs are studied extensively in recent years and have led to huge applications in theoretical chemistry, drugs formulation and pharmacy. This paper aimed to compute some degree depending TIs of Hex board networks and line graph of hex board networks. The generalized first and second multiplicative Zagreb indices (ZIs), multiplicative version of Atomic bond connectivity index (ABC) and generalized multiplicative Geometric Arithmetic index (GA) of Hex board and the line graph of Hex board networks were computed in this study.