On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies

Mehar Ali Malik; Muhammad Imran; Muhammad Adeel

doi:10.1371/journal.pone.0290047

On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies

PLoS One. 2023 Nov 9;18(11):e0290047. doi: 10.1371/journal.pone.0290047. eCollection 2023.

Authors

Mehar Ali Malik¹, Muhammad Imran², Muhammad Adeel¹

Affiliations

¹ Department of Basic Sciences and Humanities, College of Electrical and Mechanical Engineering, National University of Sciences and Technology (NUST), Rawalpindi, Pakistan.
² Department of Mathematics, Riphah International University, Lahore, Pakistan.

Abstract

In graph theory, a topological index is a numerical value that is in good correlation with certain physical properties of a molecule. It serves as an indicator of how a chemical structure behaves. The Shannon's entropy describes a comparable loss of data in information transmission networks. It has found use in the field of information theory. Inspired by the concept of Shannon's entropy, we have calculated some topological descriptors for fractal and Cayley-type dendrimer trees. We also find the entropy that is predicted by these indices.

Copyright: © 2023 Malik et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Entropy
Fractals*
Information Theory*

Grants and funding

Yes, this research is funded by Muhammad Imran, from United Arab Emirates University, Al-Ain, UAE. The funder (Muhammad Imran) has performed significant role in designing, methodology and proofreading for this manuscript.