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To obtain the optimal number of communities is an important problem in detecting community structure. In this paper, we extend the measurement of community detecting algorithms to find the optimal community number. Based on the normalized…

Physics and Society · Physics 2015-05-27 Zhifang Li , Yanqing Hu , Beishan Xu , Zengru Di , Ying Fan

Identifying communities has always been a fundamental task in analysis of complex networks. Many methods have been devised over the last decade for detection of communities. Amongst them, the label propagation algorithm brings great…

Social and Information Networks · Computer Science 2015-03-17 Aria Rezaei , Saeed Mahlouji Far , Mahdieh Soleymani

The Web is a typical example of a social network. One of the most intriguing features of the Web is its self-organization behavior, which is usually faced through the existence of communities. The discovery of the communities in a Web-graph…

Information Retrieval · Computer Science 2015-03-20 Antonis Sidiropoulos

Finding communities in graphs is one of the most well-studied problems in data mining and social-network analysis. In many real applications, the underlying graph does not have a clear community structure. In those cases, selecting a single…

Data Structures and Algorithms · Computer Science 2019-02-06 Nikolaj Tatti , Aristides Gionis

An efficient and relatively fast algorithm for the detection of communities in complex networks is introduced. The method exploits spectral properties of the graph Laplacian-matrix combined with hierarchical-clustering techniques, and…

Statistical Mechanics · Physics 2009-11-10 Luca Donetti , Miguel A. Munoz

Finding community structures in networks is important in network science, technology, and applications. To date, most algorithms that aim to find community structures only focus either on unipartite or bipartite networks. A unipartite…

Physics and Society · Physics 2014-09-16 Chang Chang , Chao Tang

According to a recent information-theoretical proposal, the problem of defining and identifying communities in networks can be interpreted as a classical communication task over a noisy channel: memberships of nodes are information bits…

Physics and Society · Physics 2018-03-02 Filippo Radicchi

Given a time-evolving network, how can we detect communities over periods of high internal and low external interactions? To address this question we generalize traditional local community detection in graphs to the setting of dynamic…

Social and Information Networks · Computer Science 2017-09-14 Daniel J. DiTursi , Gaurav Ghosh , Petko Bogdanov

Community detection is considered as a fundamental task in analyzing social networks. Even though many techniques have been proposed for community detection, most of them are based exclusively on the connectivity structures. However, there…

Social and Information Networks · Computer Science 2019-12-25 Hadi Zare , Mahdi Hajiabadi , Mahdi Jalili

Many times the nodes of a complex network, whether deliberately or not, are aggregated for technical, ethical, legal limitations or privacy reasons. A common example is the geographic position: one may uncover communities in a network of…

Community detection techniques are useful for social media platforms to discover tightly connected groups of users who share common interests. However, this functionality often comes at the expense of potentially exposing individuals to…

Social and Information Networks · Computer Science 2024-06-11 Andrea Bernini , Fabrizio Silvestri , Gabriele Tolomei

In community detection, datasets often suffer a sampling bias for which nodes which would normally have a high affinity appear to have zero affinity. This happens for example when two affine users of a social network were not exposed to one…

Social and Information Networks · Computer Science 2023-02-03 Sameh Othman , Johannes Schulz , Marco Baity-Jesi , Caterina De Bacco

Detection of overlapping communities in real-world networks is a generally challenging task. Upon recognizing that a network is in fact the union of its egonets, a novel network representation using multi-way data structures is advocated in…

Social and Information Networks · Computer Science 2018-11-14 Fatemeh Sheikholeslami , Georgios B. Giannakis

Considering a clique as a conservative definition of community structure, we examine how graph partitioning algorithms interact with cliques. Many popular community-finding algorithms partition the entire graph into non-overlapping…

Physics and Society · Physics 2012-05-15 Fergal Reid , Aaron McDaid , Neil Hurley

The community structure of a complex network can be determined by finding the partitioning of its nodes that maximizes modularity. Many of the proposed algorithms for doing this work by recursively bisecting the network. We show that this…

Computers and Society · Computer Science 2015-05-13 Yudong Sun , Bogdan Danila , Kresimir Josic , Kevin E. Bassler

We consider the problem of detecting a tight community in a sparse random network. This is formalized as testing for the existence of a dense random subgraph in a random graph. Under the null hypothesis, the graph is a realization of an…

Statistics Theory · Mathematics 2014-09-26 Ery Arias-Castro , Nicolas Verzelen

We present a fast spectral algorithm for community detection in complex networks. Our method searches for the partition with the maximum value of the modularity via the interplay of several refinement steps that include both agglomeration…

Physics and Society · Physics 2015-06-23 Santiago Treviño , Amy Nyberg , Charo I. Del Genio , Kevin E. Bassler

Many systems can be described using graphs, or networks. Detecting communities in these networks can provide information about the underlying structure and functioning of the original systems. Yet this detection is a complex task and a…

Data Structures and Algorithms · Computer Science 2013-02-06 Erwan Le Martelot , Chris Hankin

Numerous networked systems feature a structure of nontrivial communities, which often correspond to their functional modules. Such communities have been detected in real-world biological, social and technological systems, as well as in…

Physics and Society · Physics 2025-07-08 Charo I. del Genio

The information-theoretic limits of community detection have been studied extensively for network models with high levels of symmetry or homogeneity. The contribution of this paper is to study a broader class of network models that allow…

Information Theory · Computer Science 2019-07-05 Galen Reeves , Vaishakhi Mayya , Alexander Volfovsky