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arXiv · 1607.00402

The Wiener Index and the Hosoya Polynomial of the Jahangir Graphs

Shaohui Wang·Mohammad Reza Farahani·M. R. Rajesh Kanna·Muhammad Kamran Jamil·R. Pradeep Kumar
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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 $J_5,m$ for all integer number $m \geq 3$.

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Shaohui Wang, Mohammad Reza Farahani, M. R. Rajesh Kanna, Muhammad Kamran Jamil, R. Pradeep Kumar. 2016-07-01. The Wiener Index and the Hosoya Polynomial of the Jahangir Graphs. https://arxiv.org/abs/1607.00402

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