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The global energy transition towards distributed, smaller-scale resources, such as decentralized generation and flexible assets like storage and shiftable loads, demands novel control structures aligned with the emerging network…

Social and Information Networks · Computer Science 2025-06-25 Philipp Danner , Hermann de Meer

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

We reformulate the problem of modularity maximization over the set of partitions of a network as a conic optimization problem over the completely positive cone, converting it from a combinatorial optimization problem to a convex continuous…

Data Analysis, Statistics and Probability · Physics 2008-12-18 Roland Hildebrand

The investigation of community structures in networks is an important issue in many domains and disciplines. This problem is relevant for social tasks (objective analysis of relationships on the web), biological inquiries (functional…

Statistical Mechanics · Physics 2009-11-10 Filippo Radicchi , Claudio Castellano , Federico Cecconi , Vittorio Loreto , Domenico Parisi

The identification of community structure in a social network is an important problem tackled in the literature of network analysis. There are many solutions to this problem using a static scenario, when facing a dynamic scenario some…

Social and Information Networks · Computer Science 2021-12-01 Aurélio Ribeiro Costa

In network science, a group of nodes connected with each other at higher probability than with those outside the group is referred to as a community. From the perspective that individual communities are associated with functional modules…

Physics and Society · Physics 2019-12-10 Hiroshi Okamoto , Xu-le Qiu

Community identification of network components enables us to understand the mesoscale clustering structure of networks. A number of algorithms have been developed to determine the most likely community structures in networks. Such a…

Physics and Society · Physics 2019-08-20 Heetae Kim , Sang Hoon Lee

We introduce a novel method for identifying the modular structures of a network based on the maximization of an objective function: the ratio association. This cost function arises when the communities detection problem is described in the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Leonardo Angelini , Stefano Boccaletti , Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

Collaboration networks are studied as an example of growing bipartite networks. These have been previously observed to have structure such as positive correlations between nearest-neighbour degrees. However, a detailed understanding of the…

Physics and Society · Physics 2009-11-11 Matti Peltomaki , Mikko Alava

This paper is an extensive survey of literature on complex network communities and clustering. Complex networks describe a widespread variety of systems in nature and society especially systems composed by a large number of highly…

Social and Information Networks · Computer Science 2015-03-24 Biswajit Saha , Amitabha Mandal , Soumendu Bikas Tripathy , Debaprasad Mukherjee

Identifying subgroups of respondents in psychometric data is traditionally addressed with Latent Class Analysis, which requires the number of classes to be specified a priori and can perform poorly when strong inter-item correlations…

Physics and Society · Physics 2026-05-29 Arianna Armanetti , Luca Cecchetti , Eiko Fried , Diego Garlaschelli , Miguel Ibáñez-Berganza

Network is a simple but powerful representation of real-world complex systems. Network community analysis has become an invaluable tool to explore and reveal the internal organization of nodes. However, only a few methods were directly…

Social and Information Networks · Computer Science 2016-03-23 Xuemei Ning , Zhaoqi Liu , Shihua Zhang

In this paper, we first discuss the definition of modularity (Q) used as a metric for community quality and then we review the modularity maximization approaches which were used for community detection in the last decade. Then, we discuss…

Physics and Society · Physics 2016-11-17 Mingming Chen , Konstantin Kuzmin , Boleslaw K. Szymanski

Community detection in networks is one of the most popular topics of modern network science. Communities, or clusters, are usually groups of vertices having higher probability of being connected to each other than to members of other…

Physics and Society · Physics 2016-11-04 Santo Fortunato , Darko Hric

Uncovering latent community structure in complex networks is a field that has received an enormous amount of attention. Unfortunately, whilst potentially very powerful, unsupervised methods for uncovering labels based on topology alone has…

Social and Information Networks · Computer Science 2018-06-29 James P Gilbert , Jamie Twycross

Inhomogeneity in networks can be detected by the analysis of the correlation of the total degree of nearest neighbors. This is illustrated by two models. The first one is a random multi-partitions network that the Aboav Weaire law, which…

Statistical Mechanics · Physics 2009-11-17 H. W. Lau , K. Y. Szeto

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

Data Analysis, Statistics and Probability · Physics 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

The Artificial Benchmark for Community Detection (ABCD) graph is a random graph model with community structure and power-law distribution for both degrees and community sizes. The model generates graphs with similar properties as the…

Social and Information Networks · Computer Science 2022-03-04 Bogumil Kaminski , Bartosz Pankratz , Pawel Pralat , Francois Theberge

In this paper a simple but efficient real-time detecting algorithm is proposed for tracking community structure of dynamic networks. Community structure is intuitively characterized as divisions of network nodes into subgroups, within which…

Social and Information Networks · Computer Science 2014-07-11 Jiaxing Shang , Lianchen Liu , Feng Xie , Zhen Chen , Jiajia Miao , Xuelin Fang , Cheng Wu

With invaluable theoretical and practical benefits, the problem of partitioning networks for community structures has attracted significant research attention in scientific and engineering disciplines. In literature, Newman's modularity…

Social and Information Networks · Computer Science 2018-02-06 Wenye Li