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In a random intersection graph $G_{n,m,p}$, each of $n$ vertices selects a random subset of a set of $m$ labels by including each label independently with probability $p$ and edges are drawn between vertices that have at least one label in…

Discrete Mathematics · Computer Science 2022-10-06 Filippos Christodoulou , Sotiris Nikoletseas , Christoforos Raptopoulos , Paul Spirakis

Entity alignment has always had significant uses within a multitude of diverse scientific fields. In particular, the concept of matching entities across networks has grown in significance in the world of social science as communicative…

Social and Information Networks · Computer Science 2020-04-21 James Flamino , Christopher Abriola , Ben Zimmerman , Zhongheng Li , Joel Douglas

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hristo Djidjev

Finding dense bipartite subgraphs and detecting the relations among them is an important problem for affiliation networks that arise in a range of domains, such as social network analysis, word-document clustering, the science of science,…

Social and Information Networks · Computer Science 2017-11-29 A. Erdem Sariyuce , Ali Pinar

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

Undoubtedly, the MapReduce is the most powerful programming paradigm in distributed computing. The enhancement of the MapReduce is essential and it can lead the computing faster. Therefore, here are many scheduling algorithms to discuss…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-11 Rajdeep Das , Rohit Pratap Singh , Ripon Patgiri

One of the major challenges in applications related to social networks, computational biology, collaboration networks etc., is to efficiently search for similar patterns in their underlying graphs. These graphs are typically noisy and…

Social and Information Networks · Computer Science 2015-12-17 Kanigalpula Samanvi , Naveen Sivadasan

Graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most graph clustering algorithms is to find a vertex set of low…

Data Structures and Algorithms · Computer Science 2025-08-08 Joyentanuj Das , Suranjan De , He Sun

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

We take an existing implementation of an algorithm for the maximum clique problem and modify it so that we can distribute it over an ad-hoc cluster of machines. Our goal was to achieve a significant speedup in performance with minimal…

Data Structures and Algorithms · Computer Science 2013-03-22 Ciaran McCreesh , Patrick Prosser

Finding (bi-)clusters in bipartite graphs is a popular data analysis approach. Analysts typically want to visualize the clusters, which is simple as long as the clusters are disjoint. However, many modern algorithms find overlapping…

Machine Learning · Computer Science 2023-07-17 Thibault Marette , Pauli Miettinen , Stefan Neumann

In Bipartite Correlation Clustering (BCC) we are given a complete bipartite graph $G$ with `+' and `-' edges, and we seek a vertex clustering that maximizes the number of agreements: the number of all `+' edges within clusters plus all `-'…

Data Structures and Algorithms · Computer Science 2016-03-10 Megasthenis Asteris , Anastasios Kyrillidis , Dimitris Papailiopoulos , Alexandros G. Dimakis

It is common knowledge that there is no single best strategy for graph clustering, which justifies a plethora of existing approaches. In this paper, we present a general memetic algorithm, VieClus, to tackle the graph clustering problem.…

Neural and Evolutionary Computing · Computer Science 2018-02-21 Sonja Biedermann , Monika Henzinger , Christian Schulz , Bernhard Schuster

Cliques, groups of fully connected nodes in a network, are often used to study group dynamics of complex systems. In real-world settings, group dynamics often have a temporal component. For example, conference attendees moving from one…

Social and Information Networks · Computer Science 2024-12-04 Hanjo D. Boekhout , Frank W. Takes

Many data types arising from data mining applications can be modeled as bipartite graphs, examples include terms and documents in a text corpus, customers and purchasing items in market basket analysis and reviewers and movies in a movie…

Information Retrieval · Computer Science 2007-05-23 H. Zha , X. He , C. Ding , M. Gu , H. Simon

Finding large "cliquish" subgraphs is a central topic in graph mining and community detection. A popular clique relaxation are 2-clubs: instead of asking for subgraphs of diameter one (these are cliques), one asks for subgraphs of diameter…

Data Structures and Algorithms · Computer Science 2018-12-24 Christian Komusiewicz , André Nichterlein , Rolf Niedermeier , Marten Picker

In a bipartite graph, a subgraph is an $s$-biplex if each vertex of the subgraph is adjacent to all but at most $s$ vertices on the opposite set. The enumeration of $s$-biplexes from a given graph is a fundamental problem in bipartite graph…

Information Retrieval · Computer Science 2025-06-13 Zhenxiang Xu , Yiping Liu , Yi Zhou , Yimin Hao , Zhengren Wang

The maximal clique problem, to find the maximally sized clique in a given graph, is classically an NP-complete computational problem, which has potential applications ranging from electrical engineering, computational chemistry,…

Quantum Physics · Physics 2018-04-18 Weng-Long Chang , Qi Yu , Zhaokai Li , Jiahui Chen , Xinhua Peng , Mang Feng

Clique is one of the most fundamental models for cohesive subgraph mining in network analysis. Existing clique model mainly focuses on unsigned networks. However, in real world, many applications are modeled as signed networks with positive…

Data Structures and Algorithms · Computer Science 2022-04-04 Zi Chen , Long Yuan , Xuemin Lin , Lu Qin , Wenjie Zhang

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

Statistics Theory · Mathematics 2023-11-07 Tabea Rebafka