Estrada and L-Estrada Indices of Edge-Independent Random Graphs

نویسنده

  • Yilun Shang
چکیده

Let G be a simple graph of order n with eigenvalues λ1, λ2, · · · , λn and normalized Laplacian eigenvalues μ1,μ2, · · · ,μn. The Estrada index and normalized Laplacian Estrada index are defined as EE(G) = ∑n k=1 e λk and LEE(G) = ∑n k=1 e μk−1, respectively. We establish upper and lower bounds to EE and LEE for edge-independent random graphs, containing the classical Erdös-Rényi graphs as special cases.

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عنوان ژورنال:
  • Symmetry

دوره 7  شماره 

صفحات  -

تاریخ انتشار 2015