Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph

The determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper-Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic analogues of topological indices to the use a...

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Bibliographic Details
Published in:Journal of chemistry 2021-11, Vol.2021, p.1-7
Main Authors: Xu, Peng, Numan, Muhammad, Nawaz, Aamra, Butt, Saad Ihsan, Aslam, Adnan, Fahad, Asfand
Format: Article
Language:English
Subjects:
Applied mathematics
Carbon
Chemistry
Information theory
Polynomials
Topology
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Summary:The determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper-Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic analogues of topological indices to the use as major tool in crystal and polymer studies. In this paper, we will compute the Hosoya polynomial for multiwheel graph and uniform subdivision of multiwheel graph. Furthermore, we will derive two well-known topological indices for the abovementioned graphs, first Weiner index, and second hyper-Wiener index.
ISSN:2090-9063
2090-9071
DOI:10.1155/2021/1078792