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A simple but efficient spectral approach for analyzing the community structure of complex networks is introduced. It works the same way for all types of networks, by spectrally splitting the adjacency matrix into a "unipartite" and a…

Physics and Society · Physics 2016-02-05 Bogdan Danila

It is often of interest to find communities in network data for unsupervised learning, feature discovery, anomaly detection, or scientific study. The vast majority of community detection methods proceed via optimization of a quality…

Methodology · Statistics 2018-11-20 John Palowitch

The study of networks has received increased attention recently not only from the social sciences and statistics but also from physicists, computer scientists and mathematicians. One of the principal problem in networks is community…

Machine Learning · Statistics 2014-01-27 Sharmodeep Bhattacharyya , Peter J. Bickel

We introduce a community detection algorithm (Fluid Communities) based on the idea of fluids interacting in an environment, expanding and contracting as a result of that interaction. Fluid Communities is based on the propagation…

Data Structures and Algorithms · Computer Science 2017-10-10 Ferran Parés , Dario Garcia-Gasulla , Armand Vilalta , Jonatan Moreno , Eduard Ayguadé , Jesús Labarta , Ulises Cortés , Toyotaro Suzumura

Community finding algorithms for networks have recently been extended to dynamic data. Most of these recent methods aim at exhibiting community partitions from successive graph snapshots and thereafter connecting or smoothing these…

Social and Information Networks · Computer Science 2011-11-09 Bivas Mitra , Lionel Tabourier , Camille Roth

Cycles are ubiquitous in various networks such as social, biological, and technological systems, where they play a significant functional and dynamical role. This paper proposes a node similarity measure based on minimal simple cycles,…

Physics and Society · Physics 2026-01-30 Bo Yang

Many community detection algorithms have been developed to uncover the mesoscopic properties of complex networks. However how good an algorithm is, in terms of accuracy and computing time, remains still open. Testing algorithms on…

Physics and Society · Physics 2017-08-29 Zhao Yang , René Algesheimer , Claudio Juan Tessone

There has been a surge of interest in community detection in homogeneous single-relational networks which contain only one type of nodes and edges. However, many real-world systems are naturally described as heterogeneous multi-relational…

Social and Information Networks · Computer Science 2014-07-21 Xin Liu , Weichu Liu , Tsuyoshi Murata , Ken Wakita

Mining community structures from the complex network is an important problem across a variety of fields. Many existing community detection methods detect communities through optimizing a community evaluation function. However, most of these…

Social and Information Networks · Computer Science 2019-04-10 Zheng Chen , Zengyou He , Hao Liang , Can Zhao , Yan Liu

A community reveals the features and connections of its members that are different from those in other communities in a network. Detecting communities is of great significance in network analysis. Despite the classical spectral clustering…

Social and Information Networks · Computer Science 2022-04-21 Xing Su , Shan Xue , Fanzhen Liu , Jia Wu , Jian Yang , Chuan Zhou , Wenbin Hu , Cecile Paris , Surya Nepal , Di Jin , Quan Z. Sheng , Philip S. Yu

As recent work demonstrated, the task of identifying communities in networks can be considered analogous to the classical problem of decoding messages transmitted along a noisy channel. We leverage this analogy to develop a community…

Physics and Society · Physics 2019-02-05 Krishna C. Bathina , Filippo Radicchi

In this paper, we propose some new notions to characterize and analyze the communities. The new notions are general characters of the communities or local structures of networks. At first, we introduce the notions of internal dominating set…

Social and Information Networks · Computer Science 2013-01-15 Jiankou Li , Angsheng Li

Although the inference of global community structure in networks has recently become a topic of great interest in the physics community, all such algorithms require that the graph be completely known. Here, we define both a measure of local…

Data Analysis, Statistics and Probability · Physics 2008-04-12 Aaron Clauset

Community detection is a commonly used technique for identifying groups in a network based on similarities in connectivity patterns. To facilitate community detection in large networks, we recast the network to be partitioned into a smaller…

Social and Information Networks · Computer Science 2017-06-14 Natalie Stanley , Roland Kwitt , Marc Niethammer , Peter J. Mucha

Detecting communities, densely connected groups may contribute to unravel the underlying relationships among the units present in diverse biological networks (e.g., interactome, coexpression networks, ecological networks, etc.). We recently…

Molecular Networks · Quantitative Biology 2014-04-11 Rodrigo Aldecoa , Ignacio Marín

Identifying community structure can be a potent tool in the analysis and understanding of the structure of complex networks. Up to now, methods for evaluating the performance of identification algorithms use ad-hoc networks with communities…

Physics and Society · Physics 2009-11-11 Leon Danon , Albert Diaz-Guilera , Alex Arenas

Community detection in Social Networks is associated with finding and grouping the most similar nodes inherent in the network. These similar nodes are identified by computing tie strength. Stronger ties indicates higher proximity shared by…

Social and Information Networks · Computer Science 2022-12-22 Soumita Das , Anupam Biswas , Akrati Saxena

The relationship of friends in social networks can be strong or weak. Some research works have shown that a close relationship between friends conducts good community structure. Based on this result, we propose an effective method in…

Social and Information Networks · Computer Science 2017-11-01 Xiaoping Fan , Zhijie Chen , Fei Cai , Jinsong Wu , Shengzong Liu , Zhining Liao , Zhifang Liao

The persistence probability is a statistical index that has been proposed to detect one or more communities embedded in a network. Even though its definition is straightforward, e.g, the probability that a random walker remains in a group…

Optimization and Control · Mathematics 2024-04-08 Alessandro Avellone , Stefano Benati , Rosanna Grassi , Giorgio Rizzini

Most existing community-related studies focus on detection, which aim to find the community membership for each user from user friendship links. However, membership alone, without a complete profile of what a community is and how it…

Social and Information Networks · Computer Science 2017-01-18 Hongyun Cai , Vincent W. Zheng , Fanwei Zhu , Kevin Chen-Chuan Chang , Zi Huang