Some Algebraic Polynomials and Topological Indices of Generalized Prism and Toroidal Polyhex Networks

A topological index of graph G is a numerical parameter related to G, which characterizes its topology and is preserved under isomorphism of graphs. Properties of the chemical compounds and topological indices are correlated. In this report, we compute closed forms of first Zagreb, second Zagreb, an...

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Bibliographic Details
Main Authors: Muhammad Ajmal, Waqas Nazeer, Mobeen Munir, Shin Min Kang, Young Chel Kwun
Format: Article
Language:English
Published: MDPI AG 2016-12-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/9/1/5
Description
Summary:A topological index of graph G is a numerical parameter related to G, which characterizes its topology and is preserved under isomorphism of graphs. Properties of the chemical compounds and topological indices are correlated. In this report, we compute closed forms of first Zagreb, second Zagreb, and forgotten polynomials of generalized prism and toroidal polyhex networks. We also compute hyper-Zagreb index, first multiple Zagreb index, second multiple Zagreb index, and forgotten index of these networks. Moreover we gave graphical representation of our results, showing the technical dependence of each topological index and polynomial on the involved structural parameters.
ISSN:2073-8994