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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…

Social and Information Networks · Computer Science 2023-08-17 Apurba Das , Aman Abidi , Ajinkya Shingane , Mekala Kiran

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-18 Jessica Shi , Julian Shun

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

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…

Social and Information Networks · Computer Science 2019-06-28 Kai Wang , Xuemin Lin , Lu Qin , Wenjie Zhang , Ying Zhang

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

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

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

We study the fundamental problem of butterfly (i.e. (2,2)-bicliques) counting in bipartite streaming graphs. Similar to triangles in unipartite graphs, enumerating butterflies is crucial in understanding the structure of bipartite graphs.…

Databases · Computer Science 2021-02-04 Aida Sheshbolouki , M. Tamer Özsu

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…

Data Structures and Algorithms · Computer Science 2026-04-21 Xinwei Cai , Xiangyu Ke , Kai Wang , Lu Chen , Tianming Zhang , Qing Liu , Yunjun Gao

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…

Databases · Computer Science 2023-12-07 Serafeim Papadias , Zoi Kaoudi , Varun Pandey , Jorge-Arnulfo Quiane-Ruiz , Volker Markl

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…

Data Structures and Algorithms · Computer Science 2026-04-28 Lingkai Meng , Long Yuan , Xuemin Lin , Chengjie Li , Kai Wang , Wenjie Zhang

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 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

In parallel computing, a valid graph coloring yields a lock-free processing of the colored tasks, data points, etc., without expensive synchronization mechanisms. However, coloring is not free and the overhead can be significant. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-11 Mustafa Kemal Taş , Kamer Kaya , Erik Saule

In this paper, we propose a novel method to compute triangle counting on GPUs. Unlike previous formulations of graph matching, our approach is BFS-based by traversing the graph in an all-source-BFS manner and thus can be mapped onto GPUs in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-06 Leyuan Wang , John D. Owens

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…

Social and Information Networks · Computer Science 2021-05-21 Zheng Dong , Xin Huang , Guorui Yuan , Hengshu Zhu , Hui Xiong

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

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…

Databases · Computer Science 2020-01-20 Kai Wang , Xuemin Lin , Lu Qin , Wenjie Zhang , Ying Zhang

Massively parallel architectures such as the GPU are becoming increasingly important due to the recent proliferation of data. In this paper, we propose a key class of hybrid parallel graphlet algorithms that leverages multiple CPUs and GPUs…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-31 Ryan A. Rossi , Rong Zhou

Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari
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