11 research outputs found
On the Analysis of a Label Propagation Algorithm for Community Detection
This paper initiates formal analysis of a simple, distributed algorithm for
community detection on networks. We analyze an algorithm that we call
\textsc{Max-LPA}, both in terms of its convergence time and in terms of the
"quality" of the communities detected. \textsc{Max-LPA} is an instance of a
class of community detection algorithms called \textit{label propagation}
algorithms. As far as we know, most analysis of label propagation algorithms
thus far has been empirical in nature and in this paper we seek a theoretical
understanding of label propagation algorithms. In our main result, we define a
clustered version of \er random graphs with clusters where
the probability , of an edge connecting nodes within a cluster is
higher than , the probability of an edge connecting nodes in distinct
clusters. We show that even with fairly general restrictions on and
( for any , , where is the number of nodes), \textsc{Max-LPA} detects the
clusters in just two rounds. Based on this and on empirical
results, we conjecture that \textsc{Max-LPA} can correctly and quickly identify
communities on clustered \er graphs even when the clusters are much sparser,
i.e., with for some .Comment: 17 pages. Submitted to ICDCN 201
Overlapping Community Discovery Methods: A Survey
The detection of overlapping communities is a challenging problem which is
gaining increasing interest in recent years because of the natural attitude of
individuals, observed in real-world networks, to participate in multiple groups
at the same time. This review gives a description of the main proposals in the
field. Besides the methods designed for static networks, some new approaches
that deal with the detection of overlapping communities in networks that change
over time, are described. Methods are classified with respect to the underlying
principles guiding them to obtain a network division in groups sharing part of
their nodes. For each of them we also report, when available, computational
complexity and web site address from which it is possible to download the
software implementing the method.Comment: 20 pages, Book Chapter, appears as Social networks: Analysis and Case
Studies, A. Gunduz-Oguducu and A. S. Etaner-Uyar eds, Lecture Notes in Social
Networks, pp. 105-125, Springer,201
Algorithms For Community Identification In Complex Networks
First and foremost, I would like to extend my deepest gratitude to my advisor, Professor Narsingh Deo, for his excellent guidance and encouragement, and also for introducing me to this wonderful science of complex networks. Without his support this dissertation would not have been possible. I would also like to thank the members of my research committee, professors Charles Hughes, Ratan Guha, Mainak Chatterjee and Yue Zhao for their advice and guidance during the entire process. I am indebted to the faculty and the staff of the Department of Electrical Engineering and Computer Science for providing me the resources and environment to perform this research. I am grateful to my colleagues in the Parallel and Quantum computing lab for the stimulating discussions and support. I would also like to thank Dr. Hemant Balakrishnan and Dr. Sanjeeb Nanda for their valuable suggestions and guidance. My heartfelt thanks to my parents, Vasudevan and Raji, who have always been supportive of my decisions and encouraged me with their best wishes. I would also like to thank my sister Gomathy, for her words of care and affection during tough times. Special thanks to my friends in Orlando for being there when I needed the