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The Energy of Random Graphs

In: Graph Energy

Author

Listed:
  • Xueliang Li

    (Nankai University, Center for Combinatorics)

  • Yongtang Shi

    (Nankai University, Center for Combinatorics)

  • Ivan Gutman

    (University of Kragujevac, Faculty of Science)

Abstract

In the previous chapter, several lower and upper bounds have been established for various classes of graphs, among which bipartite graphs are of particular interest. But only a few graphs attain the equalities in these bounds. In [105], an exact estimate of the energy of random graphs G n (p) was established, by using the Wigner semicircle law for any probability p. Furthermore, in [105], the energy of random multipartite graphs was investigated, by considering a generalization of the Wigner matrix, and some estimates of the energy of random multipartite graphs were obtained.

Suggested Citation

  • Xueliang Li & Yongtang Shi & Ivan Gutman, 2012. "The Energy of Random Graphs," Springer Books, in: Graph Energy, edition 127, chapter 0, pages 83-98, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-4220-2_6
    DOI: 10.1007/978-1-4614-4220-2_6
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