2015Iranian journal of mathemathical chemistry./Iranian journal of mathemathical chemistryRequires access

On the distance based indices of H-phenylenic nanotorus

Abbas Heydari

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Abstract

Let G be a connected simple (molecular) graph. The distance d(i, j) between two vertices i and j of G is equal to the length of a shortest path that connects i and j. In this paper we compute some distance based topological indices of Hphenylenic nanotorus. At first we obtain an exact formula for the Wiener index. As an application the Schultz index and modified Schultz index of this graph will be computed by using whose Wiener index. Finally, we compute eccentric connectivity index of this graph.

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Let G be a connected simple (molecular) graph. The distance d(i, j) between two vertices i and j of G is equal to the length of a shortest path that connects i and j. In this paper we compute some distance based topological indices of Hphenylenic nanotorus. At first we obtain an exact formula for the Wiener index. As an application the Schultz index and modified Schultz index of this graph will be computed by using whose Wiener index. Finally, we compute eccentric connectivity index of this graph.

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Available abstract

Let G be a connected simple (molecular) graph. The distance d(i, j) between two vertices i and j of G is equal to the length of a shortest path that connects i and j. In this paper we compute some distance based topological indices of Hphenylenic nanotorus. At first we obtain an exact formula for the Wiener index. As an application the Schultz index and modified Schultz index of this graph will be computed by using whose Wiener index. Finally, we compute eccentric connectivity index of this graph.

Key concepts: Wiener index, Topological index, Mathematics, Connectivity, Distance, Combinatorics, Graph, Resistance distance

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