Distance-based topological polynomials and indices of friendship graphs

Wei Gao; Mohammad Reza Farahani; Muhammad Imran; M. R. Rajesh Kanna

doi:10.1186/s40064-016-3271-5

Distance-based topological polynomials and indices of friendship graphs

Wei Gao, Mohammad Reza Farahani, Muhammad Imran, M. R. Rajesh Kanna

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Drugs and chemical compounds are often modeled as graphs in which the each vertex of the graph expresses an atom of molecule and covalent bounds between atoms are represented by the edges between their corresponding vertices. The topological indicators defined over this molecular graph have been shown to be strongly correlated to various chemical properties of the compounds. In this article, by means of graph structure analysis, we determine several distance based topological indices of friendship graph F3(n) which is widely appeared in various classes of new nanomaterials, drugs and chemical compounds.

Original language	English
Article number	1563
Journal	SpringerPlus
Volume	5
Issue number	1
DOIs	https://doi.org/10.1186/s40064-016-3271-5
Publication status	Published - Dec 1 2016

Keywords

Friendship graph
Hosoya polynomial
Hyper-Wiener index
Schultz index
Schultz polynomial
Wiener index

ASJC Scopus subject areas

General

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10.1186/s40064-016-3271-5

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abstract = "Drugs and chemical compounds are often modeled as graphs in which the each vertex of the graph expresses an atom of molecule and covalent bounds between atoms are represented by the edges between their corresponding vertices. The topological indicators defined over this molecular graph have been shown to be strongly correlated to various chemical properties of the compounds. In this article, by means of graph structure analysis, we determine several distance based topological indices of friendship graph F3(n) which is widely appeared in various classes of new nanomaterials, drugs and chemical compounds.",

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AU - Gao, Wei

AU - Farahani, Mohammad Reza

AU - Imran, Muhammad

AU - Rajesh Kanna, M. R.

PY - 2016/12/1

Y1 - 2016/12/1

N2 - Drugs and chemical compounds are often modeled as graphs in which the each vertex of the graph expresses an atom of molecule and covalent bounds between atoms are represented by the edges between their corresponding vertices. The topological indicators defined over this molecular graph have been shown to be strongly correlated to various chemical properties of the compounds. In this article, by means of graph structure analysis, we determine several distance based topological indices of friendship graph F3(n) which is widely appeared in various classes of new nanomaterials, drugs and chemical compounds.

AB - Drugs and chemical compounds are often modeled as graphs in which the each vertex of the graph expresses an atom of molecule and covalent bounds between atoms are represented by the edges between their corresponding vertices. The topological indicators defined over this molecular graph have been shown to be strongly correlated to various chemical properties of the compounds. In this article, by means of graph structure analysis, we determine several distance based topological indices of friendship graph F3(n) which is widely appeared in various classes of new nanomaterials, drugs and chemical compounds.

KW - Friendship graph

KW - Hosoya polynomial

KW - Hyper-Wiener index

KW - Schultz index

KW - Schultz polynomial

KW - Wiener index

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VL - 5

JO - SpringerPlus

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Distance-based topological polynomials and indices of friendship graphs

Abstract

Keywords

ASJC Scopus subject areas

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