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This work presents a model that allows the study of research specialties through the manifestations of the specialty's social and epistemological processes in a collection of journal papers. Collections of papers are modeled as coupled…

Physics and Society · Physics 2007-05-23 Steven. A. Morris , Gary G. Yen

In this paper, we study Ranking, a well-known randomized greedy matching algorithm, for general graphs. The algorithm was originally introduced by Karp, Vazirani, and Vazirani [STOC 1990] for the online bipartite matching problem with…

Data Structures and Algorithms · Computer Science 2025-11-11 Mahsa Derakhshan , Mohammad Roghani , Mohammad Saneian , Tao Yu

Bipartite graphs, formed by two vertex layers, arise as a natural fit for modeling the relationships between two groups of entities. In bipartite graphs, common neighborhood computation between two vertices on the same vertex layer is a…

Databases · Computer Science 2025-02-05 Yizhang He , Kai Wang , Wenjie Zhang , Xuemin Lin , Ying Zhang

We present a method for learning max-weight matching predictors in bipartite graphs. The method consists of performing maximum a posteriori estimation in exponential families with sufficient statistics that encode permutations and data…

Machine Learning · Computer Science 2009-06-05 James Petterson , Tiberio Caetano , Julian McAuley , Jin Yu

Person-job fit is the core technique of online recruitment platforms, which can improve the efficiency of recruitment by accurately matching the job positions with the job seekers. Existing works mainly focus on modeling the unidirectional…

Information Retrieval · Computer Science 2022-08-22 Chen Yang , Yupeng Hou , Yang Song , Tao Zhang , Ji-Rong Wen , Wayne Xin Zhao

Two-sided popular matchings in bipartite graphs are a well-known generalization of stable matchings in the marriage setting, and they are especially relevant when preference lists are incomplete. In this case, the cardinality of a stable…

Discrete Mathematics · Computer Science 2018-03-13 Yuri Faenza , Vladlena Powers , Xingyu Zhang

A bipartite network is a graph structure where nodes are from two distinct domains and only inter-domain interactions exist as edges. A large number of network embedding methods exist to learn vectorial node representations from general…

Machine Learning · Computer Science 2021-02-15 Hansheng Xue , Luwei Yang , Vaibhav Rajan , Wen Jiang , Yi Wei , Yu Lin

In modern data center networks, thousands of hosts contend for shared link capacity; the scale of these systems makes centralized scheduling impractical. This article models such scheduling as a bipartite matching problem under…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Moonmoon Mohanty , Gautham Bolar , Preetam Patil , Ayalvadi Ganesh , Jean-Francois Chamberland , Parimal Parag

Bipartite incidence graph sampling provides a unified representation of many sampling situations for the purpose of estimation, including the existing unconventional sampling methods, such as indirect, network or adaptive cluster sampling,…

Statistics Theory · Mathematics 2020-04-10 Martina Patone , Li-Chun Zhang

A graph is componentwise biconnected if every connected component either is an isolated vertex or is biconnected. We present a linear-time algorithm for the problem of adding the smallest number of edges to make a bipartite graph…

Data Structures and Algorithms · Computer Science 2007-05-23 Tsan-sheng Hsu , Ming-Yang Kao

In this paper, we study a bipartite analogue of the `random graphs evolving by degrees' process. We are given a bipartitioned set of vertices $V$ into two disjoint parts ${L}$ and ${R}$ and possibly unequal positive constants $\alpha$ and…

Probability · Mathematics 2025-09-30 Neeladri Maitra

Community search over bipartite graphs has attracted significant interest recently. In many applications such as user-item bipartite graph in E-commerce, customer-movie bipartite graph in movie rating website, nodes tend to have attributes,…

Social and Information Networks · Computer Science 2023-03-02 Zongyu Xu , Yihao Zhang , Long Yuan , Yuwen Qian , Zi Chen , Mingliang Zhou , Qin Mao , Weibin Pan

Existence of a perfect matching in a random bipartite digraph with bipartition $(V_1, V_2)$, $|V_i|=n$, is studied. The graph is generated in two rounds of random selections of a potential matching partner such that the average number of…

Combinatorics · Mathematics 2019-03-15 Michal Karoński , Ed Overman , Boris Pittel

Recent advancements in bipartite consensus, a scenario where agents are divided into two disjoint sets with agents in the same set agreeing on a certain value and those in different sets agreeing on opposite or specifically related values,…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Chongzhi Wang , Haibin Shao , Ying Tan , Dewei Li

As science advances, the academic community has published millions of research papers. Researchers devote time and effort to search relevant manuscripts when writing a paper or simply to keep up with current research. In this paper, we…

Information Retrieval · Computer Science 2018-12-11 Haofeng Jia , Erik Saule

We define and study greedy matchings in vertex-ordered bipartite graphs. It is shown that each vertex-ordered bipartite graph has a unique greedy matching. The proof uses (a weak form of) Newman's lemma. The vertex ordering is called a…

Discrete Mathematics · Computer Science 2024-02-13 Hans U. Simon

Graph Convolutional Networks (GCN) have been recently employed as core component in the construction of recommender system algorithms, interpreting user-item interactions as the edges of a bipartite graph. However, in the absence of side…

Information Retrieval · Computer Science 2023-03-29 Edoardo D'Amico , Khalil Muhammad , Elias Tragos , Barry Smyth , Neil Hurley , Aonghus Lawlor

Community search on bipartite graphs, especially influential community detection, has received significant attention. Existing studies use minimum vertex weights, inadequately reflecting true community influence when some vertices have low…

Social and Information Networks · Computer Science 2025-09-17 Yanxin Zhang , Zhengyu Hua , Long Yuan , Zi Chen

We propose a greedy search-and-score algorithm for ancestral graphs, which include directed as well as bidirected edges, originating from unobserved latent variables. The normalized likelihood score of ancestral graphs is estimated in terms…

Machine Learning · Computer Science 2024-12-30 Nikita Lagrange , Herve Isambert

Scene graph generation is an important visual understanding task with a broad range of vision applications. Despite recent tremendous progress, it remains challenging due to the intrinsic long-tailed class distribution and large intra-class…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Rongjie Li , Songyang Zhang , Bo Wan , Xuming He
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