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The edge clique cover (ECC) problem -- where the goal is to find a minimum cardinality set of cliques that cover all the edges of a graph -- is a classic NP-hard problem that has received much attention from both the theoretical and…

Data Structures and Algorithms · Computer Science 2023-07-06 Anthony Hevia , Benjamin Kallus , Summer McClintic , Samantha Reisner , Darren Strash , Johnathan Wilson

Real-world complex systems are often better modeled as hypergraphs, where edges represent group interactions involving multiple entities. Understanding and quantifying homophily (similarity-driven association) in such networks is essential…

Social and Information Networks · Computer Science 2025-11-25 Gaurav Kumar , Akrati Saxena , Chandrakala Meena

Given a user-specified minimum degree threshold $\gamma$, a $\gamma$-quasi-clique is a subgraph $g=(V_g,E_g)$ where each vertex $v\in V_g$ connects to at least $\gamma$ fraction of the other vertices (i.e., $\lceil…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-11 Guimu Guo , Da Yan , M. Tamer Özsu , Zhe Jiang , Jalal Khalil

Interacting systems are ubiquitous in nature and engineering, ranging from particle dynamics in physics to functionally connected brain regions. These interacting systems can be modeled by graphs where edges correspond to the interactions…

Machine Learning · Computer Science 2024-01-25 Zhichao Han , Olga Fink , David S. Kammer

This report presents a very simple algorithm for overlaping community-detection in large graphs under constraints such as the minimum and maximum number of members allowed. The algorithm is based on the simulation of random walks and…

Social and Information Networks · Computer Science 2015-05-12 Luis Argerich

Community detection in networks refers to the process of seeking strongly internally connected groups of nodes which are weakly externally connected. In this work, we introduce and study a community definition based on internal edge…

Physics and Society · Physics 2013-01-15 Richard K. Darst David R. Reichman Peter Ronhovde , Zohar Nussinov

This paper considers a new framework to detect communities in a graph from the observation of signals at its nodes. We model the observed signals as noisy outputs of an unknown network process, represented as a graph filter that is excited…

Social and Information Networks · Computer Science 2019-04-16 Hoi-To Wai , Santiago Segarra , Asuman E. Ozdaglar , Anna Scaglione , Ali Jadbabaie

Recommender models aimed at mining users' behavioral patterns have raised great attention as one of the essential applications in daily life. Recent work on graph neural networks (GNNs) or debiasing methods has attained remarkable gains.…

Information Retrieval · Computer Science 2024-09-05 Xinfeng Wang , Fumiyo Fukumoto , Jin Cui , Yoshimi Suzuki , Jiyi Li , Dongjin Yu

[Abridged] Over the years, several compact group catalogues have been built using different methods, but most of them are not deep enough to go beyond the very local universe with a high level of redshift completeness. We build…

Astrophysics of Galaxies · Physics 2024-10-30 A. Zandivarez , E. Diaz-Gimenez , A. Taverna , F. Rodriguez , M. Merchan

Finding cohesive subgraphs in a large graph has many important applications, such as community detection and biological network analysis. Clique is often a too strict cohesive structure since communities or biological modules rarely form as…

Data Structures and Algorithms · Computer Science 2024-06-11 Qihao Cheng , Da Yan , Tianhao Wu , Lyuheng Yuan , Ji Cheng , Zhongyi Huang , Yang Zhou

We consider community detection from multiple correlated graphs sharing the same community structure. The correlated graphs are generated by independent subsampling of a parent graph sampled from the stochastic block model. The vertex…

Information Theory · Computer Science 2023-09-12 Joonhyuk Yang , Hye Won Chung

Finding large "cliquish" subgraphs is a central topic in graph mining and community detection. A popular clique relaxation are 2-clubs: instead of asking for subgraphs of diameter one (these are cliques), one asks for subgraphs of diameter…

Data Structures and Algorithms · Computer Science 2018-12-24 Christian Komusiewicz , André Nichterlein , Rolf Niedermeier , Marten Picker

Mining groups of genes that consistently co-express is an important problem in biomedical research, where it is critical for applications such as drug-repositioning and designing new disease treatments. Recently, Cooley et al. modeled this…

Data Structures and Algorithms · Computer Science 2022-06-17 Shweta Jain , Yosuke Mizutani , Blair Sullivan

We study community detection in the contextual stochastic block model arXiv:1807.09596 [cs.SI], arXiv:1607.02675 [stat.ME]. In arXiv:1807.09596 [cs.SI], the second author studied this problem in the setting of sparse graphs with…

Social and Information Networks · Computer Science 2020-11-20 Chen Lu , Subhabrata Sen

Recent advancements in recommender systems have focused on integrating knowledge graphs (KGs) to leverage their auxiliary information. The core idea of KG-enhanced recommenders is to incorporate rich semantic information for more accurate…

Information Retrieval · Computer Science 2024-07-08 Darnbi Sakong , Viet Hung Vu , Thanh Trung Huynh , Phi Le Nguyen , Hongzhi Yin , Quoc Viet Hung Nguyen , Thanh Tam Nguyen

Automatic detection of relevant groups of nodes in large real-world graphs, i.e. community detection, has applications in many fields and has received a lot of attention in the last twenty years. The most popular method designed to find…

Data Structures and Algorithms · Computer Science 2023-08-22 Alexis Baudin , Maximilien Danisch , Sergey Kirgizov , Clémence Magnien , Marwan Ghanem

The task of \emph{community detection} in a graph formalizes the intuitive task of grouping together subsets of vertices such that vertices within clusters are connected tighter than those in disparate clusters. This paper approaches…

Social and Information Networks · Computer Science 2015-10-12 Ramezan Paravi Torghabeh , Narayana Prasad Santhanam

A large body of work has been devoted to defining and identifying clusters or communities in social and information networks. We explore from a novel perspective several questions related to identifying meaningful communities in large…

Data Structures and Algorithms · Computer Science 2008-10-13 Jure Leskovec , Kevin J. Lang , Anirban Dasgupta , Michael W. Mahoney

Community detection is the task of discovering groups of nodes sharing similar patterns within a network. With recent advancements in deep learning, methods utilizing graph representation learning and deep clustering have shown great…

Social and Information Networks · Computer Science 2022-11-14 E. Dmitriev , M. W. Chekol , S. Wang

The vertex-random graphs called proximity catch digraphs (PCDs) have been introduced recently and have applications in pattern recognition and spatial pattern analysis. A PCD is a random directed graph (i.e., digraph) which is constructed…

Probability · Mathematics 2014-05-29 Elvan Ceyhan
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