IJPAM: Volume 115, No. 1 (2017)

Title

$M$-POLYNOMIALS AND TOPOLOGICAL
INDICES OF SILICATE AND OXIDE NETWORKS

Authors

Muhammad Javaid$^1$, Chahn Yong Jung$^2$
$^1$Department of Mathematics
Government College University
Lahore, 54000, PAKISTAN
$^{2}$Department of Business Administration
Gyeongsang National University
Jinju, 52828, KOREA

Abstract

A topological index is a numeric quantity that characterizes the whole structure of a molecular graph of the chemical compound and helps to understand its physical features, chemical reactivities and boiling activities. In 1936, Pólya introduced the concept of a counting polynomial in chemistry and Wiener in 1947 made the use of a topological index working on the boiling point of paraffin. The literature on the counting polynomials and the topological indices of the molecular graphs has grown enormously since those times. In this paper, we study the $M$-polynomials of the silicate, chain silicate and oxide networks and use these polynomials as a latest developed tool to compute the certain degree-based topological indices such as first Zagreb, second Zagreb, second modified Zagreb, general Randić, reciprocal general Randić, symmetric division deg, harmonic, inverse sum and the augmented Zagreb. we also include a comparison between all the obtained results to show the better one.

History

Received: May 8, 2017
Revised: June 18, 2017
Published: June 29, 2017

AMS Classification, Key Words

AMS Subject Classification: 05C07, 92E10
Key Words and Phrases: $M$-polynomials, Zagreb indices, silicate network, oxide network

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How to Cite?

DOI: 10.12732/ijpam.v115i1.11 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 1
Pages: 129 - 152


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