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The Wiener Index and the Hosoya Polynomial of the Jahangir Graphs

2016/07/01 by Shaohui Wang, Wang, Shaohui, Mohammad Reza Farahani +7
Computer Science · Mathematics · #Combinatorics (math.CO) #Computational Drug Discovery Methods #FOS: Mathematics #Graph theory and applications #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1607.00402

openalex publication_date 2016/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a simple connected graph having vertex set V and edge set E. The vertex-set and edge-set of G denoted by V(G) and E(G), respectively. The length of the smallest path between two vertices is called the distance. Mathematical chemistry is the area of research engaged in new application of mathematics in chemistry. In mathematics chemistry, we have many topological indices for any molecular graph, that they are invariant on the graph automorphism. In this research paper, we computing the Wiener index and the Hosoya polynomial of the Jahangir graphs J5,m for all integer number m ≥ 3.

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