Title
A note on the Estrada–Hatano communicability algorithm for detecting community structure in complex networks
Abstract
Recently Estrada and Hatano proposed an algorithm for the detection of community structure in complex networks using the concept of network communicability. Here we amend this algorithm by eliminating the subjectivity of choosing degree of overlapping and including an additional check of the fitness of detected communities. We show that this amendment can detect some communities which remain undetected by Estrada and Hatano’s algorithm. For instance, let G(p,q) be a graph obtained from two cliques, Kp and Kq(p⩾q⩾3), joined by a single edge. It is apparent that this graph contains two communities, namely the two cliques. However, Estrada and Hatano’s algorithm detects only Kq as a community when p is sufficiently larger than q. Our algorithm correctly detects both communities. Also, our method also finds the correct community structure in one of the classic benchmark networks, the Zachary karate club.
Year
DOI
Venue
2010
10.1016/j.amc.2010.09.026
Applied Mathematics and Computation
Keywords
Field
DocType
Complex networks,Community structure,Communicability,Graph spectra
Graph,Discrete mathematics,Combinatorics,Community structure,Algorithm,Complex network,Graph spectra,Mathematics
Journal
Volume
Issue
ISSN
217
7
0096-3003
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
Sarah Michele Rajtmajer13110.06
Damir Vukičević2488.56