ScholarLens Back to search
2009•Unpublished venueRequires access

NEW VERSION OF SZEGED INDEX AND ITS COMPUTATION FOR SOME NANOTUBES

Ali Iranmanesh, Omid Khormali, I. Najafi, Behnam Soleimani

Open publisher page 0 citations

Abstract

A graph G consists of a set of vertices ) (G V and a set of edges ) (G E . In chemical graphs, each vertex presented an atom of the molecule and covalent bonds between atoms are represented by edges between the corresponding vertices. This shape derived from a chemical compound is often called its molecular graph, and can be a path, a tree or in general a graph. A topological index is a single number, derived following a certain rule which can be used to characterize the molecule [1]. Usage of topological indices in biology and chemistry began in 1947 when chemist Harold Wiener [2] introduced Wiener number and the name of Wiener index was given by Hosoya [3]. Szeged index was introduced by Gutman and called the Szeged index, abbreviated as Sz [4]. The Szeged index is a modification of Wiener index to cyclic molecules. This was the vertex version of Sz index which had been defined as:

About this research paper

What this paper is about

A graph G consists of a set of vertices ) (G V and a set of edges ) (G E . In chemical graphs, each vertex presented an atom of the molecule and covalent bonds between atoms are represented by edges between the corresponding vertices. This shape derived from a chemical compound is often called its molecular graph, and can be a path, a tree or in general a graph. A topological index is a single number, derived following a certain rule which can be used to characterize the molecule [1]. Usage of topological indices in biology and chemistry began in 1947 when chemist Harold Wiener [2] introduced Wiener number and the name of Wiener index was given by Hosoya [3]. Szeged index was introduced by Gutman and called the Szeged index, abbreviated as Sz [4]. The Szeged index is a modification of Wiener index to cyclic molecules. This was the vertex version of Sz index which had been defined as:

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

A graph G consists of a set of vertices ) (G V and a set of edges ) (G E . In chemical graphs, each vertex presented an atom of the molecule and covalent bonds between atoms are represented by edges between the corresponding vertices. This shape derived from a chemical compound is often called its molecular graph, and can be a path, a tree or in general a graph. A topological index is a single number, derived following a certain rule which can be used to characterize the molecule [1]. Usage of topological indices in biology and chemistry began in 1947 when chemist Harold Wiener [2] introduced Wiener number and the name of Wiener index was given by Hosoya [3]. Szeged index was introduced by Gutman and called the Szeged index, abbreviated as Sz [4]. The Szeged index is a modification of Wiener index to cyclic molecules. This was the vertex version of Sz index which had been defined as:

Key concepts: Wiener index, Molecular graph, Topological index, Vertex (graph theory), Combinatorics, Mathematical chemistry, Mathematics, Graph

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
NEW VERSION OF SZEGED INDEX AND ITS COMPUTATION FOR SOME NANOTUBES — Research Paper | ScholarLens