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Counting $(p,q)$-bicliques in bipartite graphs is crucial for a variety of applications, from recommendation systems to cohesive subgraph analysis. Yet, it remains computationally challenging due to the combinatorial explosion to exactly…

Social and Information Networks · Computer Science 2025-12-09 Jingbang Chen , Weinuo Li , Yingli Zhou , Hangrui Zhou , Qiuyang Mang , Can Wang , Yixiang Fang , Chenhao Ma

Counting (p,q)-bicliques in bipartite graphs poses a foundational challenge with broad applications, from densest subgraph discovery in algorithmic research to personalized content recommendation in practical scenarios. Despite its…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-21 Linshan Qiu , Zhonggen Li , Xiangyu Ke , Lu Chen , Yunjun Gao

The problem of identifying the maximum edge biclique in bipartite graphs has attracted considerable attention in bipartite graph analysis, with numerous real-world applications such as fraud detection, community detection, and online…

Data Structures and Algorithms · Computer Science 2025-06-23 Donghang Cui , Ronghua Li , Qiangqiang Dai , Hongchao Qin , Guoren Wang

Two disjoint sets of entities and their relationship can be modelled as a bipartite graph. Real-life examples include drug-target interaction in biological networks, user-item relationships in e-commerce networks, etc. Motif-based analysis…

Data Structures and Algorithms · Computer Science 2026-05-06 Mekala Kiran , Apurba Das , Suman Banerjee , Tathagata Ray

Identifying a biclique with the maximum number of edges bears considerable implications for numerous fields of application, such as detecting anomalies in E-commerce transactions, discerning protein-protein interactions in biology, and…

Quantum Physics · Physics 2023-09-12 Xiaofan Li , Prasenjit Mitra , Rui Zhou , Wolfgang Nejdl

We consider the enumeration of maximal bipartite cliques (bicliques) from a large graph, a task central to many practical data mining problems in social network analysis and bioinformatics. We present novel parallel algorithms for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-22 Arko Provo Mukherjee , Srikanta Tirthapura

The maximal biclique enumeration problem in bipartite graphs is fundamental and has numerous applications in E-commerce and transaction networks. Most existing studies adopt a branch-and-bound framework, which recursively expands a partial…

Data Structures and Algorithms · Computer Science 2026-02-26 Kaixin Wang , Kaiqiang Yu , Cheng Long

Maximal biclique enumeration is a fundamental problem in bipartite graph data analysis. Existing biclique enumeration methods mainly focus on non-attributed bipartite graphs and also ignore the \emph{fairness} of graph attributes. In this…

Data Structures and Algorithms · Computer Science 2023-03-08 Ziqi Yin , Qi Zhang , Wentao Zhang , Rong-Hua Li , Guoren Wang

Bipartite graphs are a prevalent modeling tool for real-world networks, capturing interactions between vertices of two different types. Within this framework, bicliques emerge as crucial structures when studying dense subgraphs: they are…

Data Structures and Algorithms · Computer Science 2024-05-27 Alexis Baudin , Clémence Magnien , Lionel Tabourier

Identifying dense bipartite subgraphs is a common graph data mining task. Many applications focus on the enumeration of all maximal bicliques (MBs), though sometimes the stricter variant of maximal induced bicliques (MIBs) is of interest.…

Data Structures and Algorithms · Computer Science 2019-03-06 Blair D. Sullivan , Andrew van der Poel , Trey Woodlief

Given a graph $G$ and a parameter $k$, the $k$-biclique problem asks whether $G$ contains a complete bipartite subgraph $K_{k,k}$. This is the most easily stated problem on graphs whose parameterized complexity is still unknown. We provide…

Computational Complexity · Computer Science 2019-06-11 Bingkai Lin

Community detection, which uncovers closely connected vertex groups in networks, is vital for applications in social networks, recommendation systems, and beyond. Real-world networks often have bipartite structures (vertices in two disjoint…

Social and Information Networks · Computer Science 2025-12-23 Yue Zeng , Rong-Hua Li , Qiangqiang Dai , Guoren Wang

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

We report on the phase transition of finding a complete subgraph, of specified dimensions, in a bipartite graph. Finding a complete subgraph in a bipartite graph is a problem that has growing attention in several domains, including…

Artificial Intelligence · Computer Science 2016-09-20 Roberto Alonso , Raúl Monroy , Eduardo Aguirre

Many common graph data mining tasks take the form of identifying dense subgraphs (e.g. clustering, clique-finding, etc). In biological applications, the natural model for these dense substructures is often a complete bipartite graph…

Data Structures and Algorithms · Computer Science 2019-01-28 Kyle Kloster , Blair D. Sullivan , Andrew van der Poel

Detecting dense subgraphs from large graphs is a core component in many applications, ranging from social networks mining, bioinformatics. In this paper, we focus on mining dense subgraphs in a bipartite graph. The work is motivated by the…

Data Structures and Algorithms · Computer Science 2018-11-06 Yikun Ban

This paper is related to the problem of finding the maximal quasi-bicliques in a bipartite graph (bigraph). A quasi-biclique in the bigraph is its "almost" complete subgraph. The relaxation of completeness can be understood variously; here,…

Data Structures and Algorithms · Computer Science 2020-02-25 Dmitry I. Ignatov , Polina Ivanova , Albina Zamaletdinova

Bipartite graphs are ubiquitous in many domains, e.g., e-commerce platforms, social networks, and academia, by modeling interactions between distinct entity sets. Within these graphs, the butterfly motif, a complete 2*2 biclique, represents…

Social and Information Networks · Computer Science 2025-01-14 Qiuyang Mang , Jingbang Chen , Hangrui Zhou , Yu Gao , Yingli Zhou , Qingyu Shi , Richard Peng , Yixiang Fang , Chenhao Ma

Given a bipartite graph, the maximum balanced biclique (\textsf{MBB}) problem, discovering a mutually connected while equal-sized disjoint sets with the maximum cardinality, plays a significant role for mining the bipartite graph and has…

Data Structures and Algorithms · Computer Science 2020-07-20 Lu Chen , Chengfei Liu , Rui Zhou , Jiajie Xu , Jianxin Li

The bipartite graph is a ubiquitous data structure that can model the relationship between two entity types: for instance, users and items, queries and webpages. In this paper, we study the problem of ranking vertices of a bipartite graph,…

Information Retrieval · Computer Science 2017-08-16 Xiangnan He , Ming Gao , Min-Yen Kan , Dingxian Wang
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