Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph. (27th November 2021)

• Record Type: Journal Article
• Authors: Xu, Peng; Numan, Muhammad; Nawaz, Aamra; Butt, Saad Ihsan; Aslam, Adnan; Fahad, Asfand
• Other Names: Singh Ajaya Kumar Academic Editor.
• Is Part Of: Journal of chemistry. Volume 2021(2021)
• Publication Date: 2021-11-27
• Subjects: Chemistry -- Periodicals; 540.5
• DOI: 10.1155/2021/1078792
• Languages: English
• ISSNs: 2090-9063

Abstract

Abstract : 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.