Title
Constant Communities In Complex Networks
Abstract
Identifying community structure is a fundamental problem in network analysis. Most community detection algorithms are based on optimizing a combinatorial parameter, for example modularity. This optimization is generally NP-hard, thus merely changing the vertex order can alter their assignments to the community. However, there has been less study on how vertex ordering influences the results of the community detection algorithms. Here we identify and study the properties of invariant groups of vertices (constant communities) whose assignment to communities are, quite remarkably, not affected by vertex ordering. The percentage of constant communities can vary across different applications and based on empirical results we propose metrics to evaluate these communities. Using constant communities as a pre-processing step, one can significantly reduce the variation of the results. Finally, we present a case study on phoneme network and illustrate that constant communities, quite strikingly, form the core functional units of the larger communities.
Year
DOI
Venue
2013
10.1038/srep01825
SCIENTIFIC REPORTS
DocType
Volume
ISSN
Journal
3
2045-2322
Citations 
PageRank 
References 
8
0.59
2
Authors
5
Name
Order
Citations
PageRank
Tanmoy Chakraborty146676.71
Sriram Srinivasan237927.92
Niloy Ganguly31306121.03
Sanjukta Bhowmick412018.83
Animesh Mukherjee539262.78