Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes

The energy of a molecular graph G is defined as the summation of the absolute values of the eigenvalues of adjacency matrix of a graph G. In this paper, an infinite class of fullerene graphs with 10n vertices, n ≥ 2, is considered. By proving centrosymmetricity of the adjacency matrix of these fulle...

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Main Authors:	Katona Gyula Y., Faghani Morteza, Ashrafi Ali Reza
Format:	Article
Language:	English
Published:	Sciendo 2014-11-01
Series:	Discussiones Mathematicae Graph Theory
Subjects:	centrosymmetric matrix fullerene graph energy.
Online Access:	https://doi.org/10.7151/dmgt.1761

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spelling	doaj-33b30f929b9b4489b749340a2daf34e62021-09-05T17:20:20ZengSciendoDiscussiones Mathematicae Graph Theory2083-58922014-11-0134475176810.7151/dmgt.1761dmgt.1761Centrosymmetric Graphs And A Lower Bound For Graph Energy Of FullerenesKatona Gyula Y.0Faghani Morteza1Ashrafi Ali Reza2Department of Computer Science and Information Theory Budapest University of Technology and Economics Budapest, Hungary/MTA-ELTE Numerical Analysis and Large Networks Research Group, Budapest, HungaryDepartment of Mathematics, Payam-e Noor University Tehran, I. R. IranDepartment of Pure Mathematics Faculty of Mathematical Sciences University of Kashan, Kashan 87317-51167, I. R. IranThe energy of a molecular graph G is defined as the summation of the absolute values of the eigenvalues of adjacency matrix of a graph G. In this paper, an infinite class of fullerene graphs with 10n vertices, n ≥ 2, is considered. By proving centrosymmetricity of the adjacency matrix of these fullerene graphs, a lower bound for its energy is given. Our method is general and can be extended to other class of fullerene graphs.https://doi.org/10.7151/dmgt.1761centrosymmetric matrixfullerene graphenergy.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Katona Gyula Y. Faghani Morteza Ashrafi Ali Reza
spellingShingle	Katona Gyula Y. Faghani Morteza Ashrafi Ali Reza Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes Discussiones Mathematicae Graph Theory centrosymmetric matrix fullerene graph energy.
author_facet	Katona Gyula Y. Faghani Morteza Ashrafi Ali Reza
author_sort	Katona Gyula Y.
title	Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes
title_short	Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes
title_full	Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes
title_fullStr	Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes
title_full_unstemmed	Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes
title_sort	centrosymmetric graphs and a lower bound for graph energy of fullerenes
publisher	Sciendo
series	Discussiones Mathematicae Graph Theory
issn	2083-5892
publishDate	2014-11-01
description	The energy of a molecular graph G is defined as the summation of the absolute values of the eigenvalues of adjacency matrix of a graph G. In this paper, an infinite class of fullerene graphs with 10n vertices, n ≥ 2, is considered. By proving centrosymmetricity of the adjacency matrix of these fullerene graphs, a lower bound for its energy is given. Our method is general and can be extended to other class of fullerene graphs.
topic	centrosymmetric matrix fullerene graph energy.
url	https://doi.org/10.7151/dmgt.1761
work_keys_str_mv	AT katonagyulay centrosymmetricgraphsandalowerboundforgraphenergyoffullerenes AT faghanimorteza centrosymmetricgraphsandalowerboundforgraphenergyoffullerenes AT ashrafialireza centrosymmetricgraphsandalowerboundforgraphenergyoffullerenes
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Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes

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