Research Article
DOI: https://doi.org/10.61336/jcm2023-4

Computation of Distance Matrices of Primary Subgraphs

Volume 48 (2023)
Pages: 35-41
Open Access
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M. Awais\(^{1,2}\), Zulfiqar Ahmed\(^{1}\), Waseem Khalid\(^{1*}\)

\(^{1}\) School of Engineering and Applied Sciences, Department of Computer Science, GIFT University, Gujranwala, Pakistan
\(^{2}\) School of Mathematics and Statistics, Southwest University, Chongqing, China

Received: 02/04/2023
Revised: 01/10/2023
Accepted: 05/10/2023
Published: 06/10/2023

Abstract

The graph-theoretical (topological) distance matrices and their invariants (polynomials, spectra and wiener numbers) are presented. Use of distance matrix and its invariants in chemistry is surveyed. Method used to compute distance polynomials is Le Verrier-Faddeev-Frame method.Along with this, Wiener numbers are computed. Some new results are presented.

Keywords: Distance Matrix, Distance Polynomials, Le Verrier-Faddeev-Frame method, Spectrum, Wiener number

Copyright © 2023 M. Awais, Zulfiqar Ahmed, Waseem Khalid. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.