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An efficient and relatively fast algorithm for the detection of communities in complex networks is introduced. The method exploits spectral properties of the graph Laplacian-matrix combined with hierarchical-clustering techniques, and…

Statistical Mechanics · Physics 2009-11-10 Luca Donetti , Miguel A. Munoz

Graph Ricci curvature is crucial as it geometrically quantifies network structure. It pinpoints bottlenecks via negative curvature, identifies cohesive communities with positive curvature, and highlights robust hubs. This guides network…

Analysis of PDEs · Mathematics 2026-04-03 Juan Zhao , Jicheng Ma , Yunyan Yang , Liang Zhao

Characterizing shapes of high-dimensional objects via Ricci curvatures plays a critical role in many research areas in mathematics and physics. However, even though several discretizations of Ricci curvatures for discrete combinatorial…

Data Structures and Algorithms · Computer Science 2023-08-14 Bhaskar DasGupta , Elena Grigorescu , Tamalika Mukherjee

Community detection in graphs has many important and fundamental applications including in distributed systems, compression, image segmentation, divide-and-conquer graph algorithms such as nested dissection, document and word clustering,…

Social and Information Networks · Computer Science 2019-06-18 Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim

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

An increasingly important challenge in network analysis is efficient detection and tracking of communities in dynamic networks for which changes arrive as a stream. There is a need for algorithms that can incrementally update and monitor…

Social and Information Networks · Computer Science 2013-05-15 Jierui Xie , Mingming Chen , Boleslaw K. Szymanski

A community within a network is a group of vertices densely connected to each other but less connected to the vertices outside. The problem of detecting communities in large networks plays a key role in a wide range of research areas, e.g.…

Social and Information Networks · Computer Science 2013-03-08 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

Detecting groups of users, who have similar opinions, interests, or social behavior, has become an important task for many applications. A recent study showed that dynamic distance based Attractor, a community detection algorithm,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-26 Nguyen Vo , Kyumin Lee , Thanh Tran

Graph clustering, or community detection, is the task of identifying groups of closely related objects in a large network. In this paper we introduce a new community-detection framework called LambdaCC that is based on a specially weighted…

Data Structures and Algorithms · Computer Science 2018-07-17 Nate Veldt , David Gleich , Anthony Wirth

Performing analytic of household load curves (LCs) has significant value in predicting individual electricity consumption patterns, and hence facilitate developing demand-response strategy, and finally achieve energy efficiency improvement…

Data Structures and Algorithms · Computer Science 2018-11-27 Yunyou Huang , Jianfeng Zhan , Nana Wang , Chunjie Luo , Lei Wang , Rui Ren

We present a new layout algorithm for complex networks that combines a multi-scale approach for community detection with a standard force-directed design. Since community detection is computationally cheap, we can exploit the multi-scale…

Physics and Society · Physics 2015-03-13 Oliver Dürr , Arnd Brandenburg

We present a viable solution to the challenging question of change detection in complex networks inferred from large dynamic data sets. Building on Forman's discretization of the classical notion of Ricci curvature, we introduce a novel…

Social and Information Networks · Computer Science 2016-06-29 Melanie Weber , Jürgen Jost , Emil Saucan

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

We investigate the possibility of global optimization-based overlapping community detection, using link community framework. We first show that partition density, the original quality function used in link community detection method, is not…

Physics and Society · Physics 2017-10-11 Juyong Lee , Zhong-Yuan Zhang , Jooyoung Lee , Bernard R. Brooks , Yong-Yeol Ahn

In recent years extensions of manifold Ricci curvature to discrete combinatorial objects such as graphs and hypergraphs (popularly called as "network shapes"), have found a plethora of applications in a wide spectrum of research areas…

Data Structures and Algorithms · Computer Science 2026-05-12 Bhaskar DasGupta , Katie Kruzan

Community detection has become an extremely active area of research in recent years, with researchers proposing various new metrics and algorithms to address the problem. Recently, the Weighted Community Clustering (WCC) metric was proposed…

Social and Information Networks · Computer Science 2014-11-04 Matthew Saltz , Arnau Prat-Pèrez , David Dominguez-Sal

Community detection, a fundamental task for network analysis, aims to partition a network into multiple sub-structures to help reveal their latent functions. Community detection has been extensively studied in and broadly applied to many…

Social and Information Networks · Computer Science 2021-08-17 Di Jin , Zhizhi Yu , Pengfei Jiao , Shirui Pan , Dongxiao He , Jia Wu , Philip S. Yu , Weixiong Zhang

Many systems can be described using graphs, or networks. Detecting communities in these networks can provide information about the underlying structure and functioning of the original systems. Yet this detection is a complex task and a…

Data Structures and Algorithms · Computer Science 2013-02-06 Erwan Le Martelot , Chris Hankin

Community detection is an important task in social network analysis, allowing us to identify and understand the communities within the social structures. However, many community detection approaches either fail to assign low degree (or…

Social and Information Networks · Computer Science 2019-03-20 Ninareh Mehrabi , Fred Morstatter , Nanyun Peng , Aram Galstyan

Complex data in social and natural sciences find effective representation through networks, wherein quantitative and categorical information can be associated with nodes and connecting edges. The internal structure of networks can be…

Social and Information Networks · Computer Science 2024-08-07 Fabio Morea , Domenico De Stefano