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Energy of Graphs and Orthogonal Matrices

In: Approximation and Computation

Author

Listed:
  • V. Božin

    (University of Belgrade)

  • M. Mateljević

    (University of Belgrade)

Abstract

In this paper, we characterize graphs of maximal energy by means of orthogonal matrices. The result makes it possible to estimate energy of graphs without direct computation of eigenvalues. As an illustration, we compute the maximum energy among all graphs with n = 4 k vertices, which corresponds to strongly regular graphs found by Koolen and Moulton, and apply our result to conference graphs, computing the asymptotic formula for maximal graph energy.

Suggested Citation

  • V. Božin & M. Mateljević, 2010. "Energy of Graphs and Orthogonal Matrices," Springer Optimization and Its Applications, in: Walter Gautschi & Giuseppe Mastroianni & Themistocles M. Rassias (ed.), Approximation and Computation, pages 87-96, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-6594-3_6
    DOI: 10.1007/978-1-4419-6594-3_6
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