Title
Nodal domain partition and the number of communities in networks
Abstract
It is difficult to detect and evaluate the number of communities in complex networks, especially when the situation involves an ambiguous boundary between the inner-and inter-community densities. In this paper, discrete nodal domain theory is used to provide a criterion to determine how many communities a network has and how to partition these communities by means of topological structure and geometric characterization. By capturing the signs of the Laplacian eigenvectors, we separate the network into several reasonable clusters. The method leads to a fast and effective algorithm with application to a variety of real network data sets.
Year
DOI
Venue
2012
10.1088/1742-5468/2012/02/P02012
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Keywords
Field
DocType
analysis of algorithms,clustering techniques
Cluster (physics),Topology,Mathematical optimization,Quantum mechanics,Analysis of algorithms,Domain theory,Network data,Complex network,Partition (number theory),Mathematics,Eigenvalues and eigenvectors,Laplace operator
Journal
Volume
Issue
ISSN
abs/1201.5767
2
1742-5468
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Bian He100.34
Lei Gu2387.66
Xiao-Dong Zhang3384.97