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Journal of Applied Mathematics and Computing

Erschienen in:

15.09.2020 | Original Research

Novel neighbourhood redefined first and second Zagreb indices on carborundum structures

verfasst von: M. C. Shanmukha, N. S. Basavarajappa, A. Usha, K. C. Shilpa

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2021

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Abstract

Graph theory offers experts with a useful tool called the topological index which analyses the characteristics of chemical compounds. Motivated by the recent work of redefined Zagreb indices (\(ReZG_{1}\), \(ReZG_{2}\), \( ReZG_{3}\)), novel topological indices such as Neighbourhood redefined first and second Zagreb indices (\(NReZ_{1}\), \(NReZ_{2}\)) are proposed and computed for a molecular graph G of two carborundum structures. The correlation coefficient of \(NReZ_{1}\), \(NReZ_{2}\) with ten properties of octane isomers are determined, of which entropy and acentric factor showed a good correlation. Also, the lower and upper bounds of redefined Zagreb indices are determined using classic results, Pólya–Szegö and Cauchy–Schwarz inequalities for simple graphs and trees.

Vorheriger Artikel Double vertex-edge domination in graphs: complexity and algorithms

Nächster Artikel The impact of information and saturated treatment with time delay in an infectious disease model

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Titel: Novel neighbourhood redefined first and second Zagreb indices on carborundum structures
verfasst von: M. C. Shanmukha
N. S. Basavarajappa
A. Usha
K. C. Shilpa
Publikationsdatum: 15.09.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2021
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01435-3

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