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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,…

社会与信息网络 · 计算机科学 2023-10-19 Jiaxi Pu , Yanhao Wang , Yuchen Li , Xuan Zhou

Bipartite graphs characterize relationships between two different sets of entities, like actor-movie, user-item, and author-paper. The butterfly, a 4-vertices 4-edges (2,2)-biclique, is the simplest cohesive motif in a bipartite graph and…

数据结构与算法 · 计算机科学 2026-04-21 Xinwei Cai , Xiangyu Ke , Kai Wang , Lu Chen , Tianming Zhang , Qing Liu , Yunjun Gao

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…

社会与信息网络 · 计算机科学 2025-01-14 Qiuyang Mang , Jingbang Chen , Hangrui Zhou , Yu Gao , Yingli Zhou , Qingyu Shi , Richard Peng , Yixiang Fang , Chenhao Ma

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…

数据结构与算法 · 计算机科学 2019-08-30 Seyed-Vahid Sanei-Mehri , Yu Zhang , Ahmet Erdem Sariyuce , Srikanta Tirthapura

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,…

离散数学 · 计算机科学 2018-03-19 Seyed-Vahid Sanei-Mehri , Ahmet Erdem Sariyuce , Srikanta Tirthapura

A bipartite graph extensively models relationships between real-world entities of two different types, such as user-product data in e-commerce. Such graph data are inherently becoming more and more streaming, entailing continuous insertions…

数据库 · 计算机科学 2023-12-07 Serafeim Papadias , Zoi Kaoudi , Varun Pandey , Jorge-Arnulfo Quiane-Ruiz , Volker Markl

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…

数据库 · 计算机科学 2026-03-24 Chi Luo , Jiaxin Song , Yuhao Zhang , Kai Wang , Zhixing He , Kuan Yang

Bipartite graphs offer a powerful framework for modeling complex relationships between two distinct types of vertices, incorporating probabilistic, temporal, and rating-based information. While the research community has extensively…

社会与信息网络 · 计算机科学 2023-08-17 Apurba Das , Aman Abidi , Ajinkya Shingane , Mekala Kiran

Bipartite graphs are commonly used to model relationships between two distinct entities in real-world applications, such as user-product interactions, user-movie ratings and collaborations between authors and publications. A butterfly (a…

数据结构与算法 · 计算机科学 2026-04-28 Lingkai Meng , Long Yuan , Xuemin Lin , Chengjie Li , Kai Wang , Wenjie Zhang

Bipartite graphs are rich data structures with prevalent applications and identifier structural features. However, less is known about their growth patterns, particularly in streaming settings. Current works study the patterns of static or…

数据结构与算法 · 计算机科学 2021-11-25 Aida Sheshbolouki , M. Tamer Özsu

Bipartite networks are of great importance in many real-world applications. In bipartite networks, butterfly (i.e., a complete 2 x 2 biclique) is the smallest non-trivial cohesive structure and plays a key role. In this paper, we study the…

社会与信息网络 · 计算机科学 2019-06-28 Kai Wang , Xuemin Lin , Lu Qin , Wenjie Zhang , Ying Zhang

Butterflies are the smallest non-trivial subgraph in bipartite graphs, and therefore having efficient computations for analyzing them is crucial to improving the quality of certain applications on bipartite graphs. In this paper, we design…

分布式、并行与集群计算 · 计算机科学 2020-06-18 Jessica Shi , Julian Shun

Butterflies, or 4-cycles in bipartite graphs, are crucial for identifying cohesive structures and dense subgraphs. While agent-based data mining is gaining prominence, its application to bipartite networks remains relatively unexplored. We…

分布式、并行与集群计算 · 计算机科学 2025-06-24 Prabhat Kumar Chand , Apurba Das , Anisur Rahaman Molla

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…

分布式、并行与集群计算 · 计算机科学 2026-01-27 Mekala Kiran , Apurba Das , Suman Banerjee , Tathagata Ray

Real-world graphs often manifest as a massive temporal stream of edges. The need for real-time analysis of such large graph streams has led to progress on low memory, one-pass streaming graph algorithms. These algorithms were designed for…

数据结构与算法 · 计算机科学 2014-10-16 Madhav Jha , C. Seshadhri , Ali Pinar

Cohesive subgraph mining in bipartite graphs becomes a popular research topic recently. An important structure k-bitruss is the maximal cohesive subgraph where each edge is contained in at least k butterflies (i.e., (2, 2)-bicliques). In…

数据库 · 计算机科学 2020-01-20 Kai Wang , Xuemin Lin , Lu Qin , Wenjie Zhang , Ying Zhang

Community search aims at finding densely connected subgraphs for query vertices in a graph. While this task has been studied widely in the literature, most of the existing works only focus on finding homogeneous communities rather than…

社会与信息网络 · 计算机科学 2021-05-21 Zheng Dong , Xin Huang , Guorui Yuan , Hengshu Zhu , Hui Xiong

The streaming bipartite graph is widely used to model the dynamic relationship between two types of entities in various real-world applications, including movie recommendations, location-based services, and online shopping. Since it…

社会与信息网络 · 计算机科学 2025-11-25 Nan Zhang , Yutong Ye , Xiang Lian , Qi Wen , Mingsong Chen

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…

数据结构与算法 · 计算机科学 2024-05-27 Alexis Baudin , Clémence Magnien , Lionel Tabourier

The growing popularity of dynamic applications such as social networks provides a promising way to detect valuable information in real time. Efficient analysis over high-speed data from dynamic applications is of great significance. Data…

数据库 · 计算机科学 2018-09-05 Youhuan Li , Lei Zou , M. Tamer Ozsu , Dongyan Zhao
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