EstradaIndex: Estrada Index of a graph structure

Description Usage Arguments Details Value Author(s) References See Also Examples

Description

Computes the Estrada Index given the adjacency matrix of a graph structure.

Usage

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Arguments

A

matrix or Matrix object with adjacency matrix of a graph.

Details

The Estrada Index is calculated by

EE(λ) = ∑_{j=1}^p \exp(γ_j(λ)),

where γ_1(λ), …,γ_p(λ) are the eigenvalues of A_G^λ.

Value

Estrada index coefficient

Author(s)

Caballe, Adria <a.caballe@sms.ed.ac.uk>, Natalia Bochkina and Claus Mayer.

References

Estrada, E. (2011). The structure of complex networks. New York: OXFORD University press.

See Also

lambdaSelection for lambda selection approaches.

Examples

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EX1         <- pcorSimulator(nobs = 50, nclusters=2, nnodesxcluster=c(40,30), 
                             pattern="powerLaw")
y           <- EX1$y
out3        <- huge(y, method = "mb", lambda = 0.4)
PATH        <- out3$path[[1]]
hm          <- estradaIndex(PATH)
  
 

ldstatsHD documentation built on Aug. 14, 2017, 5:06 p.m.