Comparative Study of Generalized Sum Graphs via Degree-Based Topological Indices

In theoretical chemistry, topological indices (TIs) have important role to predict various physical and structural properties of the study under molecular graphs. Among all topological indices, Zagreb-type indices have been used more effectively in the chemical literature. In this paper, we have com...

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Bibliographic Details
Published inJournal of mathematics (Hidawi) Vol. 2022; no. 1
Main Authors Javaid, Muhammad, Javed, Saira, Bonyah, Ebenezer
Format Journal Article
LanguageEnglish
Published Cairo Hindawi 2022
Hindawi Limited
Wiley
Subjects
Comparative studies
Graph theory
Graphs
Mathematics
Regression analysis
Regression models
Topology
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Summary:In theoretical chemistry, topological indices (TIs) have important role to predict various physical and structural properties of the study under molecular graphs. Among all topological indices, Zagreb-type indices have been used more effectively in the chemical literature. In this paper, we have computed first Zagreb, second Zagreb, forgotten, and hyper Zagreb indices of the generalized Q-sum graph H1QαH2 in the form of different TIs of its basic graphs, where α≥1 is a positive integer. This family of graphs is obtained by the lexicographic product of the graph QαH1 and H2, where QαH1 is constructed with the help of the generalized line superposition operation Qα on H1. As a conclusion, we also checked the correlation between predefined graph H1H2 under the operation of lexicographic product H1 and H2 with newly defined generalized Q-sum graphs H1QαH2 using linear regression models of various degree-based TIs.
ISSN:2314-4629
2314-4785
DOI:10.1155/2022/9001167