Abstract
AbstractIn 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.KeywordsRandom GraphWigner MatrixExact EstimateLimiting Spectral Distribution (LSD)Band Matrix ModelThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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