Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes

• Autorzy: Gyula Y. Katona , Morteza Faghani , Ali Reza Ashrafi
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

centrosymmetric matrix; fullerene graph; energy.

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2014
• Tom: 34
• Numer: 4
• Strony: 751-768

Daty

wydano

2014-11-01

otrzymano

2013-04-09

poprawiono

2013-09-13

zaakceptowano

2013-11-10

online

2014-11-15

Twórcy

autor

Gyula Y. Katona

• Department of Computer Science and Information Theory Budapest University of Technology and Economics Budapest, Hungary/MTA-ELTE Numerical Analysis and Large Networks Research Group, Budapest, Hungary

autor

Morteza Faghani

• Department of Mathematics, Payam-e Noor University Tehran, I. R. Iran

autor

Ali Reza Ashrafi

• Department of Pure Mathematics Faculty of Mathematical Sciences University of Kashan, Kashan 87317-51167, I. R. Iran

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1761