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Community detection plays a key role in understanding graph structure. However, several recent studies showed that community detection is vulnerable to adversarial structural perturbation. In particular, via adding or removing a small…

Cryptography and Security · Computer Science 2020-09-16 Jinyuan Jia , Binghui Wang , Xiaoyu Cao , Neil Zhenqiang Gong

Community structure is a key feature omnipresent in real-world network data. Plethora of methods have been proposed to reveal subsets of densely interconnected nodes using criteria such as the modularity index. These approaches have been…

Social and Information Networks · Computer Science 2026-01-21 Alexandre Cionca , Chun Hei Michael Chan , Dimitri Van De Ville

Community detection is the task of detecting hidden communities from observed interactions. Guaranteed community detection has so far been mostly limited to models with non-overlapping communities such as the stochastic block model. In this…

Machine Learning · Computer Science 2013-10-28 Anima Anandkumar , Rong Ge , Daniel Hsu , Sham M. Kakade

This paper surveys recent theoretical advances in convex optimization approaches for community detection. We introduce some important theoretical techniques and results for establishing the consistency of convex community detection under…

Statistics Theory · Mathematics 2018-10-02 Xiaodong Li , Yudong Chen , Jiaming Xu

Community detection is of fundamental significance for understanding the topology characters and the spreading dynamics on complex networks. While random walk is widely used and is proven effective in many community detection algorithms,…

Physics and Society · Physics 2021-02-03 Zhaole Wu , Xin Wang , Wenyi Fang , Longzhao Liu , Shaoting Tang , Hongwei Zheng , Zhiming Zheng

Because networks can be used to represent many complex systems, they have attracted considerable attention in physics, computer science, sociology, and many other disciplines. One of the most important areas of network science is the…

Social and Information Networks · Computer Science 2016-11-18 Huiyi Hu , Yves van Gennip , Blake Hunter , Mason A. Porter , Andrea L. Bertozzi

Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge…

Social and Information Networks · Computer Science 2025-11-13 Arsenii Onuchin , Konstantin Sorokin , Maxim Beketov , Liubov Tupikina

We present a network community-detection technique based on properties that emerge from a nature-inspired system of aligning particles. Initially, each vertex is assigned a random-direction unit vector. A nonlinear dynamic law is…

Social and Information Networks · Computer Science 2026-01-27 Filipe Alves Neto Verri , Roberto Alves Gueleri , Qiusheng Zheng , Junbao Zhang , Liang Zhao

Network community detection is usually considered as an unsupervised learning problem. Given a network, the aim is to partition it using some general purpose algorithm. In this paper we instead treat community detection as a hypothesis…

Social and Information Networks · Computer Science 2026-04-22 Rudy Arthur

Community detection is a classic network problem with extensive applications in various fields. Its most common method is using modularity maximization heuristics which rarely return an optimal partition or anything similar. Partitions with…

Social and Information Networks · Computer Science 2024-10-28 Samin Aref , Mahdi Mostajabdaveh , Hriday Chheda

Determining community structure is a central topic in the study of complex networks, be it technological, social, biological or chemical, in static or interacting systems. In this paper, we extend the concept of community detection from…

Quantum Physics · Physics 2014-10-23 Mauro Faccin , Piotr Migdał , Tomi H. Johnson , Ville Bergholm , Jacob D. Biamonte

In network research, Community Detection has always been a topic of significant interest in network science, with numerous papers and algorithms proposing to uncover the underlying structures within networks. In this paper, we conduct a…

Social and Information Networks · Computer Science 2025-02-10 Yash Malode , Amit Aylani , Arvind Bhardwaj , Deepak Hajoary

Community detection and edge prediction are both forms of link mining: they are concerned with discovering the relations between vertices in networks. Some of the vertex similarity measures used in edge prediction are closely related to the…

Physics and Society · Physics 2015-06-03 Bowen Yan , Steve Gregory

Many complex networks in the real world have community structures -- groups of well-connected nodes with important functional roles. It has been well recognized that the identification of communities bears numerous practical applications.…

Social and Information Networks · Computer Science 2019-07-10 Chien-Chun Ni , Yu-Yao Lin , Feng Luo , Jie Gao

Current approaches to community detection in social networks often ignore the spatial location of the nodes. In this paper, we look to extract spatially-near communities in a social network. We introduce a new metric to measure the quality…

Social and Information Networks · Computer Science 2013-09-12 Joseph Hannigan , Guillermo Hernandez , Richard M. Medina , Patrcik Roos , Paulo Shakarian

Complex networks usually expose community structure with groups of nodes sharing many links with the other nodes in the same group and relatively few with the nodes of the rest. This feature captures valuable information about the…

Social and Information Networks · Computer Science 2016-07-08 Hiep H. Nguyen , Abdessamad Imine , Michael Rusinowitch

We show here that the problem of maximizing a family of quantitative functions, encompassing both the modularity (Q-measure) and modularity density (D-measure), for community detection can be uniformly understood as a combinatoric…

Physics and Society · Physics 2015-05-27 Jonathan Q. Jiang , Lisa J. McQuay

The problem of community detection in networks is usually formulated as finding a single partition of the network into some "correct" number of communities. We argue that it is more interpretable and in some regimes more accurate to…

The present work is concerned with community detection. Specifically, we consider a random graph drawn according to the stochastic block model~: its vertex set is partitioned into blocks, or communities, and edges are placed randomly and…

Data Structures and Algorithms · Computer Science 2019-06-27 Ludovic Stephan , Laurent Massoulié

We consider the problem of community detection in the Stochastic Block Model with a finite number $K$ of communities of sizes linearly growing with the network size $n$. This model consists in a random graph such that each pair of vertices…

Social and Information Networks · Computer Science 2014-12-24 Se-Young Yun , Alexandre Proutiere
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