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estrada_index¶
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estrada_index
(G)[source]¶ Return the Estrada index of a the graph G.
Parameters: G (graph) – Returns: estrada index Return type: float Raises: NetworkXError
– If the graph is not undirected and simple.See also
estrada_index_exp()
Notes
Let
be a simple undirected graph with
nodes and let
be a non-increasing ordering of the eigenvalues of its adjacency matrix
. The Estrada index is
References
[1] E. Estrada, Characterization of 3D molecular structure, Chem. Phys. Lett. 319, 713 (2000). Examples
>>> G=nx.Graph([(0,1),(1,2),(1,5),(5,4),(2,4),(2,3),(4,3),(3,6)]) >>> ei=nx.estrada_index(G)