Hosoya and Harary Polynomials of TOX(n),RTOX(n),TSL(n) and RTSL(n)

Author:

Chen Lian1,Mehboob Abid2,Ahmad Haseeb34,Nazeer Waqas5ORCID,Hussain Muhammad3,Farahani M. Reza6ORCID

Affiliation:

1. Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China

2. Department of Mathematics, University of Education, Vihari Campus, Pakistan

3. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan

4. Department of Mathematics, Lahore Leads University, Lahore, Pakistan

5. Division of Science and Technology, University of Education, Lahore, Pakistan

6. Department of Applied Mathematics, Iran University of Science and Technology (IUST), Narmak, 16844 Tehran, Iran

Abstract

In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound. In 1947, Wiener introduced “path number” which is now known as Wiener index and is the oldest topological index related to molecular branching. Hosoya polynomial plays a vital role in determining Wiener index. In this report, we computed the Hosoya and the Harary polynomials for TOX(n),RTOX(n),TSL(n), and RTSL(n) networks. Moreover, we computed serval distance based topological indices, for example, Wiener index, Harary index, and multiplicative version of wiener index.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

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