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The many facets of community detection in complex networks.

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TLDR
In this paper, the authors provide a focused review of the different motivations that underpin community detection, highlighting the different facets of community detection and highlighting the many lines of research and points out open directions and avenues for future research.
Abstract
Community detection, the decomposition of a graph into essential building blocks, has been a core research topic in network science over the past years. Since a precise notion of what constitutes a community has remained evasive, community detection algorithms have often been compared on benchmark graphs with a particular form of assortative community structure and classified based on the mathematical techniques they employ. However, this comparison can be misleading because apparent similarities in their mathematical machinery can disguise different goals and reasons for why we want to employ community detection in the first place. Here we provide a focused review of these different motivations that underpin community detection. This problem-driven classification is useful in applied network science, where it is important to select an appropriate algorithm for the given purpose. Moreover, highlighting the different facets of community detection also delineates the many lines of research and points out open directions and avenues for future research.

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Citations
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References
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Journal ArticleDOI

Community detection in networks: A user guide

TL;DR: In this paper, the authors present a guided tour of the main aspects of community detection in networks and point out strengths and weaknesses of popular methods, and give directions to their use.
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Survey: Graph clustering

TL;DR: This survey overviews the definitions and methods for graph clustering, that is, finding sets of ''related'' vertices in graphs, and presents global algorithms for producing a clustering for the entire vertex set of an input graph.
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Fast spectral methods for ratio cut partitioning and clustering

TL;DR: It is shown that the second smallest eigenvalue of a matrix derived from the netlist gives a provably good approximation of the optimal ratio cut partition cost.
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Estimation and prediction for stochastic blockstructures

TL;DR: In this article, a statistical approach to a posteriori blockmodeling for digraph and valued digraphs is proposed, which assumes that the vertices of the digraph are partitioned into several unobserved (latent) classes and that the probability distribution of the relation between two vertices depends only on the classes to which they belong.
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Overlapping community detection in networks: The state-of-the-art and comparative study

TL;DR: A framework is proposed for evaluating algorithms' ability to detect overlapping nodes, which helps to assess overdetection and underdetection, and for low overlapping density networks, SLPA, OSLOM, Game, and COPRA offer better performance than the other tested algorithms.
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