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In this paper, we develop the idea to partition the edges of a weighted graph in order to uncover overlapping communities of its nodes. Our approach is based on the construction of different types of weighted line graphs, i.e. graphs whose…

Data Analysis, Statistics and Probability · Physics 2010-10-22 T. S. Evans , R. Lambiotte

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

Community structure exists in many real-world networks and has been reported being related to several functional properties of the networks. The conventional approach was partitioning nodes into communities, while some recent studies start…

Physics and Society · Physics 2011-08-15 Youngdo Kim , Hawoong Jeong

It is shown how to construct a clique graph in which properties of cliques of a fixed order in a given graph are represented by vertices in a weighted graph. Various definitions and motivations for these weights are given. The detection of…

Physics and Society · Physics 2011-01-04 T. S. Evans

We study how to detect groups in a complex network each of which consists of component nodes sharing a similar connection pattern. Based on the mixture models and the exploratory analysis set up by Newman and Leicht (Newman and Leicht 2007…

Data Analysis, Statistics and Probability · Physics 2008-12-17 J. Wang , C. -H. Lai

Graph vertices are often organized into groups that seem to live fairly independently of the rest of the graph, with which they share but a few edges, whereas the relationships between group members are stronger, as shown by the large…

Physics and Society · Physics 2007-12-20 Santo Fortunato , Claudio Castellano

Community structure is a typical property of many real-world networks, and has become a key to understand the dynamics of the networked systems. In these networks most nodes apparently lie in a community while there often exists a few nodes…

Social and Information Networks · Computer Science 2017-12-07 Zhan Weihua , Chen Huahui , Guan Jihong , Jin Guang

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

Networks have become a key approach to understanding systems of interacting objects, unifying the study of diverse phenomena including biological organisms and human society. One crucial step when studying the structure and dynamics of…

Physics and Society · Physics 2010-09-16 Yong-Yeol Ahn , James P. Bagrow , Sune Lehmann

Most existing approaches for community detection require complete information of the graph in a specific scale, which is impractical for many social networks. We propose a novel algorithm that does not embrace the universal approach but…

Physics and Society · Physics 2015-03-30 Hui-Jia Li , Junhua Zhang , Zhi-Ping Liu , Luonan Chen , Xiang-Sun Zhang

Community detection and link prediction are both of great significance in network analysis, which provide very valuable insights into topological structures of the network from different perspectives. In this paper, we propose a novel…

Social and Information Networks · Computer Science 2017-07-11 Hui-Min Cheng , Yi-Zi Ning , Zhao Yin , Chao Yan , Xin Liu , Zhong-Yuan Zhang

Due to the advent of the expressions of data other than tabular formats, the topological compositions which make samples interrelated came into prominence. Analogically, those networks can be interpreted as social connections, dataflow…

Social and Information Networks · Computer Science 2023-01-27 Hacı İsmail Aslan , Chang Choi , Hoon Ko

Many networks can be characterised by the presence of communities, which are groups of units that are closely linked. Identifying these communities can be crucial for understanding the system's overall function. Recently, hypergraphs have…

Social and Information Networks · Computer Science 2024-03-12 Quintino Francesco Lotito , Federico Musciotto , Alberto Montresor , Federico Battiston

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

Usually the boundary of a community in a network is drawn between nodes and thus crosses its outgoing links. If we construct overlapping communities by applying the link-clustering approach nodes and links interchange their roles.…

Social and Information Networks · Computer Science 2013-10-15 Frank Havemann , Jochen Gläser , Michael Heinz , Alexander Struck

Community detection is a widely-studied unsupervised learning problem in which the task is to group similar entities together based on observed pairwise entity interactions. This problem has applications in diverse domains such as social…

Social and Information Networks · Computer Science 2020-04-21 Jimit Majmudar , Stephen Vavasis

Communities in networks are commonly considered as highly cohesive subgraphs which are well separated from the rest of the network. However, cohesion and separation often cannot be maximized at the same time, which is why a compromise is…

Social and Information Networks · Computer Science 2018-12-07 Frank Havemann , Jochen Gläser , Michael Heinz

We propose and study a set of algorithms for discovering community structure in networks -- natural divisions of network nodes into densely connected subgroups. Our algorithms all share two definitive features: first, they involve iterative…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman , M. Girvan

Common experience suggests that many networks might possess community structure - division of vertices into groups, with a higher density of edges within groups than between them. Here we describe a new computer algorithm that detects…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman , M. Girvan

A significant problem in analysis of complex network is to reveal community structure, in which network nodes are tightly connected in the same communities, between which there are sparse connections. Previous algorithms for community…

Physics and Society · Physics 2018-04-25 Jingming Zhang , Jianjun Cheng , Xing Su , Xinhong Yin , Shiyan Zhao , Xiaoyun Chen
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