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JOURNALS // Nanosystems: Physics, Chemistry, Mathematics // Archive

Nanosystems: Physics, Chemistry, Mathematics, 2020 Volume 11, Issue 3, Pages 267–274 (Mi nano523)

This article is cited in 9 papers

MATHEMATICS

M-polynomial and related degree-based topological indices of the third type of hex-derived network

Shibsankar Das, Shikha Rai

Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India

Abstract: In the field of chemical graph theory, a topological index is a real number which is correlated with the various physical properties, biological activities and chemical reactivities of molecular graphs. In recent trends, M-polynomials are used to compute numerous degree-based topological indices. Hex-derived networks have a wide range of applications in pharmaceutical sciences, electronics and communication networks. In this paper, we would like to determine a general form of M-polynomial for the third type of hex-derived network of dimension n and hence generate the related degree-based topological indices. Additionally, we plot the M-polynomial and all the related degree-based topological indices for several n.

Keywords: third type of hex-derived network, degree-based topological indices, m-polynomial, graph polynomial.

Received: 13.04.2020
Revised: 26.04.2020

Language: English

DOI: 10.17586/2220-8054-2020-11-3-267-274



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