{"title":"ON SECOND HYPER-ZAGREB INDEX OF CORONA PRODUCTS RELATED TO R-GRAPHS","authors":"I. Sarkar, M. Nanjappa","doi":"10.12732/ijam.v36i3.1","DOIUrl":null,"url":null,"abstract":": The cognitive and evidential features of the graph discipline are significantly influenced by the implementation of graph operations. Molecular descriptor acts as a fundamental network invariant relevant to a particular molecular structure in the framework of chemical graph theory. The semi-total point graph features the edges of subdivision graph as well as the edges of the original graph. In this paper, we explore combinatorial inequalities associated with the edges, vertices and its corresponding neighborhood notions along with the inclusion of other molecular descriptors in the computations for the determination of exact expressions of second hyper-Zagreb index for certain corona products involving the semi-total point graph.","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v36i3.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
: The cognitive and evidential features of the graph discipline are significantly influenced by the implementation of graph operations. Molecular descriptor acts as a fundamental network invariant relevant to a particular molecular structure in the framework of chemical graph theory. The semi-total point graph features the edges of subdivision graph as well as the edges of the original graph. In this paper, we explore combinatorial inequalities associated with the edges, vertices and its corresponding neighborhood notions along with the inclusion of other molecular descriptors in the computations for the determination of exact expressions of second hyper-Zagreb index for certain corona products involving the semi-total point graph.
期刊介绍:
The journal is peer-reviewed and publishes carefully selected original research papers on all scopes of mathematics and its applications: combinatorics, design and configurations, graph theory, fractals, lattices, ordered algebraic structures, real functions, measure and integration, functions of complex variable, potential theory, special functions, fractional calculus, operational calculus and integral transforms, dynamical systems in their broadest sense (covering ODEs, all kinds of PDEs, FDEs, difference equations, functional equations), approximation and expansion, integral equations, operator theory, calculus of variations, optimal control, optimization, applied differential geometry, probability theory and stochastic processes, statistics, numerical analysis, computer science, mechanics of particle and systems, mechanics of solids, fluid mechanics, classical thermodynamics, mathematical methods in economics, operations research, programming, mathematical biology, systems theory, information and communication, circuits.