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Algorithms for community detection are usually stochastic, leading to different partitions for different choices of random seeds. Consensus clustering has proven to be an effective technique to derive more stable and accurate partitions…

Physics and Society · Physics 2019-04-23 Aditya Tandon , Aiiad Albeshri , Vijey Thayananthan , Wadee Alhalabi , Santo Fortunato

In this article, we advance divide-and-conquer strategies for solving the community detection problem in networks. We propose two algorithms which perform clustering on a number of small subgraphs and finally patches the results into a…

Machine Learning · Statistics 2017-08-21 Soumendu Sundar Mukherjee , Purnamrita Sarkar , Peter J. Bickel

We study efficient algorithms for recovering cliques in dense random intersection graphs (RIGs). In this model, $d = n^{\Omega(1)}$ cliques of size approximately $k$ are randomly planted by choosing the vertices to participate in each…

Data Structures and Algorithms · Computer Science 2026-04-13 Andreas Göbel , Janosch Ruff , Leon Schiller

A network is a composition of many communities, i.e., sets of nodes and edges with stronger relationships, with distinct and overlapping properties. Community detection is crucial for various reasons, such as serving as a functional unit of…

Machine Learning · Computer Science 2021-01-19 Isa Inuwa-Dutse , Mark Liptrott , Yannis Korkontzelos

Community detection in network analysis aims at partitioning nodes in a network into $K$ disjoint communities. Most currently available algorithms assume that $K$ is known, but choosing a correct $K$ is generally very difficult for real…

Methodology · Statistics 2017-07-03 Chong Chen , Ruibin Xi , Nan Lin

Community is a universal structure in various complex networks, and community detection is a fundamental task for network analysis. With the rapid growth of network scale, networks are massive, changing rapidly and could naturally be…

Social and Information Networks · Computer Science 2021-10-29 Yanhao Yang , Meng Wang , David Bindel , Kun He

Considering higher-order interactions allows for a more comprehensive understanding of network structures beyond simple pairwise connections. While leveraging all cliques in a network to handle higher-order interactions is intuitive, it…

Social and Information Networks · Computer Science 2025-09-30 Eunho Koo , Tongseok Lim

Cluster deletion is an NP-hard graph clustering objective with applications in computational biology and social network analysis, where the goal is to delete a minimum number of edges to partition a graph into cliques. We first provide a…

Data Structures and Algorithms · Computer Science 2024-04-26 Vicente Balmaseda , Ying Xu , Yixin Cao , Nate Veldt

Community detection in multi-layer undirected networks has attracted considerable attention in recent years. However, multi-layer directed networks are common in the real world, and existing community detection methods often either ignore…

Social and Information Networks · Computer Science 2025-02-28 Huan Qing

The maximum clique (MC) problem is a challenging graph mining problem which, due to its NP-hard nature, can take a substantial amount of execution time. The MC problem is dominated by set intersection operations similar to Maximal Clique…

Data Structures and Algorithms · Computer Science 2025-09-29 Hans Vandierendonck

Overlapping communities are key characteristics of the structure and function analysis of complex networks. Shared or overlapping nodes within overlapping communities can form either subcommunities or act as intersections between larger…

Social and Information Networks · Computer Science 2025-12-19 Vesa Kuikka , Kosti Koistinen , Kimmo K Kaski

Description of temporal networks and detection of dynamic communities have been hot topics of research for the last decade. However, no consensual answers to these challenges have been found due to the complexity of the task. Static…

Social and Information Networks · Computer Science 2020-12-03 Jordan Cambe , Sebastian Grauwin , Patrick Flandrin , Pablo Jensen

Protecting privacy in social graphs requires preventing sensitive information, such as community affiliations, from being inferred by graph analysis, without substantially altering the graph topology. We address this through the problem of…

Social and Information Networks · Computer Science 2025-09-26 Dario Loi , Matteo Silvestri , Fabrizio Silvestri , Gabriele Tolomei

Community detection is expensive, and the cost generally depends at least linearly on the number of vertices in the graph. We propose working with a reduced graph that has many fewer nodes but nonetheless captures key community structure.…

Physics and Society · Physics 2014-10-14 Chengbin Peng , Tamara G. Kolda , Ali Pinar

A pair of complementary algorithms are presented. One of the pair is a fast method for connecting graphs with an edge. The other is a fast method for removing edges from a graph. Both algorithms employ the same tree based graph…

Data Structures and Algorithms · Computer Science 2009-11-13 Michael J. Lee

Image segmentation has many applications which range from machine learning to medical diagnosis. In this paper, we propose a framework for the segmentation of images based on super-pixels and algorithms for community identification in…

Computer Vision and Pattern Recognition · Computer Science 2016-12-13 Oscar A. C. Linares , Glenda Michele Botelho , Francisco Aparecido Rodrigues , João Batista Neto

Large graphs arise in a number of contexts and understanding their structure and extracting information from them is an important research area. Early algorithms on mining communities have focused on the global structure, and often run in…

Social and Information Networks · Computer Science 2015-09-28 Yixuan Li , Kun He , David Bindel , John Hopcroft

A statistical network model with overlapping communities can be generated as a superposition of mutually independent random graphs of varying size. The model is parameterized by the number of nodes, the number of communities, and the joint…

Probability · Mathematics 2024-12-19 Tommi Gröhn , Joona Karjalainen , Lasse Leskelä

As research into community finding in social networks progresses, there is a need for algorithms capable of detecting overlapping community structure. Many algorithms have been proposed in recent years that are capable of assigning each…

Physics and Society · Physics 2010-11-18 Aaron F. McDaid , Neil J. Hurley

This article presents an efficient hierarchical clustering algorithm that solves the problem of core community detection. It is a variant of the standard community detection problem in which we are particularly interested in the connected…

Social and Information Networks · Computer Science 2015-09-01 J. Creusefond , T. Largillier , S. Peyronnet