Estrada and L-Estrada Indices of Edge-Independent Random Graphs
نویسندگان
چکیده
منابع مشابه
Estrada and L-Estrada Indices of Edge-Independent Random Graphs
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 spec...
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Let G be a simple n-vertex graph whose eigenvalues are λ1, . . . , λn. The Estrada index of G is defined as EE(G) = ∑n i=1 e λi . The importance of this topological index extends much further than just pure graph theory. For example, it has been used to quantify the degree of folding of proteins and to measure centrality of complex networks. The talk aims to give an introduction to the Estrada ...
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ژورنال
عنوان ژورنال: Symmetry
سال: 2015
ISSN: 2073-8994
DOI: 10.3390/sym7031455