On Computation and Analysis of Topological Index-Based Invariants for Complex Coronoid Systems

Author:

Rashid Muhammad Aamer1ORCID,Ahmad Sarfraz1ORCID,Siddiqui Muhammad Kamran1ORCID,Kaabar Mohammed K. A.234ORCID

Affiliation:

1. Department of Mathematics, COMSATS University Islamabad,, Lahore Campus, Lahore 54000, Pakistan

2. Gofa Campus, Near Gofa Industrial College and German Adebabay, Nifas Silk-Lafto, 26649, Addis Ababa, Ethiopia

3. Jabalia Campus, United Nations Relief and Works Agency (UNRWA) Palestinian Refugee Camp, Gaza Strip Jabalya, State of Palestine

4. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia

Abstract

In chemical graph theory, benzenoid systems are interrogated as they exhibit the chemical compounds known as benzenoid hydrocarbons. Benzenoid schemes are circumscribed as planar connected finite graphs having no cut vertices wherein the entire internal sections are collaboratively congruent regular hexagon. The past couple of decennium has acknowledged an extravagant development regarding implementation of information theoretic framework in miscellaneous ramification of science, for instance, in social sciences, biological, physical, and engineering. Explicitly, this tremendous improvement has been outstanding in the field of soft computing, molecular biology, and information technology. The information theory, delineated by Claud Shannon, has no less importance when it was considered. Shannon put forwarded the apprehension of entropy to enumerate upper bounds in transmission rates in telephonic channels, in optical communication, and in wireless. The prestigious feature of entropy is that it entitles the amount of uncertainty in a system. The substantial participation of this paper is to explore characteristics of graph entropies and then keep moving forward to talk about the formation of coronoid polycyclic aromatic hydrocarbons. Likewise, we estimate entropies through precise topological indices established on degree of terminal nodes.

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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