The eccentric based Zagreb indices of carbon graphite

Abdul Jalil M. Khalaf; Abdul Qudair Baig; Muhammad Razwan Azhar; Muhammad Imran; Mohammad Reza Farahani

doi:10.1080/09720529.2020.1818448

The eccentric based Zagreb indices of carbon graphite

Abdul Jalil M. Khalaf, Abdul Qudair Baig, Muhammad Razwan Azhar, Muhammad Imran, Mohammad Reza Farahani

Department of Mathematical Sciences

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

8 Citations (Scopus)

Abstract

Graph theory is vital for modeling and designing any chemical structure or network. Chemical graph theory is helpful to under first and about the structural characteristics of a molecular graph. The molecular graph is a graph in which vertices represent atoms and edges represent the chemical bond between atoms. Among topological descriptors, connectivity invariants are very beneficial and they have a useful part in chemistry. In this article, we study the chemical graphs of carbon graphite and we compute and derive close formulas of eccentricity based topological indices, such as eccentric based first Zagreb index, eccentric based second Zagreb index and eccentric based third Zagreb index of carbon graphite CG(m; n) for 3-layer.

Original language	English
Pages (from-to)	1121-1137
Number of pages	17
Journal	Journal of Discrete Mathematical Sciences and Cryptography
Volume	23
Issue number	6
DOIs	https://doi.org/10.1080/09720529.2020.1818448
Publication status	Published - Aug 17 2020

Keywords

Carbon graphite
Chemical graph
Eccentricity based Zagreb indices
Molecular graph
Primary 05C12
Secondary 05C90

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1080/09720529.2020.1818448

Cite this

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abstract = "Graph theory is vital for modeling and designing any chemical structure or network. Chemical graph theory is helpful to under first and about the structural characteristics of a molecular graph. The molecular graph is a graph in which vertices represent atoms and edges represent the chemical bond between atoms. Among topological descriptors, connectivity invariants are very beneficial and they have a useful part in chemistry. In this article, we study the chemical graphs of carbon graphite and we compute and derive close formulas of eccentricity based topological indices, such as eccentric based first Zagreb index, eccentric based second Zagreb index and eccentric based third Zagreb index of carbon graphite CG(m; n) for 3-layer.",

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AU - Khalaf, Abdul Jalil M.

AU - Baig, Abdul Qudair

AU - Azhar, Muhammad Razwan

AU - Imran, Muhammad

AU - Farahani, Mohammad Reza

PY - 2020/8/17

Y1 - 2020/8/17

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AB - Graph theory is vital for modeling and designing any chemical structure or network. Chemical graph theory is helpful to under first and about the structural characteristics of a molecular graph. The molecular graph is a graph in which vertices represent atoms and edges represent the chemical bond between atoms. Among topological descriptors, connectivity invariants are very beneficial and they have a useful part in chemistry. In this article, we study the chemical graphs of carbon graphite and we compute and derive close formulas of eccentricity based topological indices, such as eccentric based first Zagreb index, eccentric based second Zagreb index and eccentric based third Zagreb index of carbon graphite CG(m; n) for 3-layer.

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KW - Chemical graph

KW - Eccentricity based Zagreb indices

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The eccentric based Zagreb indices of carbon graphite

Abstract

Keywords

ASJC Scopus subject areas

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