estrada_index

estrada_index(G)

Return the Estrada index of a the graph G.

Parameters :

G: graph :

Returns :

estrada index: 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

[R149]

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)