The implementation of Hosoya index and Hosoya polynomial into some graphs related to cycles

Authors

  • FM Bhatti Department of Mathematics, Riphah International University, Gulberg Campus, Lahore, Pakistan.
  • Herolistra Baskoroputro Department of Mathematics and Statistics, School of Computer Sciences, Bina Nusantara University, Jakarta, Indonesia
  • Hafiz Muhammad Humza Department of Mathematics, Riphah International University, Gulberg Campus, Lahore, Pakistan.
  • Alfi Y. Zakiyyah Department of Mathematics and Statistics, School of Computer Sciences, Bina Nusantara University, Jakarta, Indonesia

Keywords:

Hosoya index, edge-amalgamation of cycles, amalgamation of cycles, Hosoya polynomials

Abstract

The Hosoya index counts the number of independent edge sets in a graph, that is the number of subsets of the edge set such that no two edges in the subset share a vertex. Moreover, the Hosoya index gives important details on a graph’s structural properties, including its connectivity. It has applications in a variety of fields, including computational biology, networking, and chemistry. In our article, we study Hosoya indiex of amalgamation of cycles and edge-amalgamation of cycles. Moreover, in this article we study the restricted Hosoya polynomial of amalgamation of cycles and we also give the general form of topological index.

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Published

2024-06-30

How to Cite

The implementation of Hosoya index and Hosoya polynomial into some graphs related to cycles. (2024). Journal of Prime Research in Mathematics, 20(1), 15 – 22. https://jprm.sms.edu.pk/index.php/jprm/article/view/221