Computing the energy of small fullerenes

Document Type : Full Length Article

Author

Institute of Nanoscience and Nanotechnology, University of Kashan, 8731751167 Kashan, I. R Iran

Abstract

The concept of energy of graph is defined in 1978 by Ivan Gutman as the sum of the absolute values of the eigenvalues of a graph. In this article we estimate the energy of small fullerenes.

Graphical Abstract

Computing the energy of small fullerenes

Keywords

References

[1] R Balakrishnan, The energy of a graph, Linear Algebra and its Applications, 387 (2004) 287-295.
[2] C. A. Coulson, On the calculation of the energy in unsaturated hydrocarbon molecules, Proc. Cambridge Phil. Soc. 36 (1940) 201-203.
[3] C. D. Godsil, AZgebraic Combinatorics, Chapman and Hall, New York, 1993.
[4] I. Gutman, The energy of a graph, Ber. Math. Statist. Sekt. Forschungsz. Graz, 103 (1978) 1-22.
[5] I. Gutman, X. Li, Y. Shi, Graph Energy. New York, Springer, 2012.
[6] H. W. Kroto, J. R. Heath, S. C.O’Brien, R. F.Curl, R. E. Smalley, C60: Buckminster fullerene, Nature 318 (1985) 162-163.
[7] H. W. Kroto, J. E. Fichier, D. E Cox, The Fullerene, Pergamon Press, New York 1993.
Journal of Discrete Mathematics and Its Applications
Volume 4, 1-2
June 2014
Pages 27-36

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History

  • Receive Date: 11 November 2013
  • Revise Date: 07 February 2014
  • Accept Date: 26 May 2014
  • Publish Date: 01 June 2014

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