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2010•Journal of Computational and Theoretical NanoscienceRequires access

The Wiener, Szeged, and PI Indices of a Dendrimer Nanostar

M. H. Khalifeh, M. R. Darafsheh, Hassan Jolany

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Abstract

Let $G = (V,E)$ be a simple connected graph. The distance between two vertices of $G$ is defined to be the length of the shortest path between the two vertices. There are topological indices assigned to $G$ and based on the distance function which are invariant under the action of the automorphism group of $G$. Some important indices assigned to $G$ are the Wiener, Szeged, and PI index which we will find them for a certain chemical graph called dendrimer nanostar.

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What this paper is about

Let $G = (V,E)$ be a simple connected graph. The distance between two vertices of $G$ is defined to be the length of the shortest path between the two vertices. There are topological indices assigned to $G$ and based on the distance function which are invariant under the action of the automorphism group of $G$. Some important indices assigned to $G$ are the Wiener, Szeged, and PI index which we will find them for a certain chemical graph called dendrimer nanostar.

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Available abstract

Let $G = (V,E)$ be a simple connected graph. The distance between two vertices of $G$ is defined to be the length of the shortest path between the two vertices. There are topological indices assigned to $G$ and based on the distance function which are invariant under the action of the automorphism group of $G$. Some important indices assigned to $G$ are the Wiener, Szeged, and PI index which we will find them for a certain chemical graph called dendrimer nanostar.

Key concepts: Automorphism group, Topological index, Dendrimer, Wiener index, Mathematics, Combinatorics, Graph, Pi

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