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Bipartite graphs serve as a natural model for representing relationships between two different types of entities. When analyzing bipartite graphs, butterfly counting is a fundamental research problem that aims to count the number of…

Databases · Computer Science 2026-03-24 Chi Luo , Jiaxin Song , Yuhao Zhang , Kai Wang , Zhixing He , Kuan Yang

The study of networks has received increased attention recently not only from the social sciences and statistics but also from physicists, computer scientists and mathematicians. One of the principal problem in networks is community…

Machine Learning · Statistics 2014-01-27 Sharmodeep Bhattacharyya , Peter J. Bickel

Hypergraphs provide a powerful framework for modeling complex systems and networks with higher-order interactions beyond simple pairwise relationships. However, graph-based clustering approaches, which focus primarily on pairwise relations,…

Social and Information Networks · Computer Science 2025-07-16 Giuseppe F. Italiano , Athanasios L. Konstantinidis , Anna Mpanti , Fariba Ranjbar

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

Balanced butterfly counting, corresponding to counting balanced (2, 2)-bicliques, is a fundamental primitive in the analysis of signed bipartite graphs and provides a basis for studying higher-order structural properties such as clustering…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-27 Mekala Kiran , Apurba Das , Suman Banerjee , Tathagata Ray

Unsupervised node clustering (or community detection) is a classical graph learning task. In this paper, we study algorithms, which exploit the geometry of the graph to identify densely connected substructures, which form clusters or…

Social and Information Networks · Computer Science 2023-07-20 Yu Tian , Zachary Lubberts , Melanie Weber

We consider the problem of counting motifs in bipartite affiliation networks, such as author-paper, user-product, and actor-movie relations. We focus on counting the number of occurrences of a "butterfly", a complete $2 \times 2$ biclique,…

Discrete Mathematics · Computer Science 2018-03-19 Seyed-Vahid Sanei-Mehri , Ahmet Erdem Sariyuce , Srikanta Tirthapura

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

The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of…

Physics and Society · Physics 2010-09-17 Santo Fortunato

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

Machine Learning · Computer Science 2021-10-04 Shahana Ibrahim , Xiao Fu

We consider space-efficient single-pass estimation of the number of butterflies, a fundamental bipartite graph motif, from a massive bipartite graph stream where each edge represents a connection between entities in two different…

Data Structures and Algorithms · Computer Science 2019-08-30 Seyed-Vahid Sanei-Mehri , Yu Zhang , Ahmet Erdem Sariyuce , Srikanta Tirthapura

Community search over large graphs is a fundamental problem in graph analysis. Recent studies propose to compute top-k influential communities, where each reported community not only is a cohesive subgraph but also has a high influence…

Databases · Computer Science 2017-12-15 Fei Bi , Lijun Chang , Xuemin Lin , Wenjie Zhang

Mining dense subgraphs on multi-layer graphs is an interesting problem, which has witnessed lots of applications in practice. To overcome the limitations of the quasi-clique-based approach, we propose d-coherent core (d-CC), a new notion of…

Databases · Computer Science 2017-10-03 Rong Zhu , Zhaonian Zou , Jianzhong Li

Real-world networks often involve both keywords and locations, along with travel time variations between locations due to traffic conditions. However, most existing cohesive subgraph-based community search studies utilize a single…

Social and Information Networks · Computer Science 2025-05-20 Li Ni , Hengkai Xu , Lin Mu , Yiwen Zhang , Wenjian Luo

The hypergraph community detection problem seeks to identify groups of related nodes in hypergraph data. We propose an information-theoretic hypergraph community detection algorithm which compresses the observed data in terms of community…

Community detection is an important task in network analysis. A community (also referred to as a cluster) is a set of cohesive vertices that have more connections inside the set than outside. In many social and information networks, these…

Social and Information Networks · Computer Science 2015-04-06 Joyce Jiyoung Whang , David F. Gleich , Inderjit S. Dhillon

Community search is a derivative of community detection that enables online and personalized discovery of communities and has found extensive applications in massive real-world networks. Recently, there needs to be more focus on the…

Social and Information Networks · Computer Science 2024-01-22 Wei Ai , CanHao Xie , Tao Meng , Yinghao Wu , KeQin Li

Temporal bipartite graphs are widely used to denote time-evolving relationships between two disjoint sets of nodes, such as customer-product interactions in E-commerce and user-group memberships in social networks. Temporal butterflies,…

Social and Information Networks · Computer Science 2023-10-19 Jiaxi Pu , Yanhao Wang , Yuchen Li , Xuan Zhou

Recently, community search over graphs has attracted significant attention and many algorithms have been developed for finding dense subgraphs from large graphs that contain given query nodes. In applications such as analysis of protein…

Databases · Computer Science 2017-02-15 Xin Huang , Laks V. S. Lakshmanan

Breadth-First Search (BFS) is a building block used in a wide array of graph analytics and is used in various network analysis domains: social, road, transportation, communication, and much more. Over the last two decades, network sizes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-26 Oded Green