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The value of graph-based big data can be unlocked by exploring the topology and metrics of the networks they represent, and the computational approaches to this exploration take on many forms. The use-case of performing global computations…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-13 Miguel E. Coimbra , Alexandre P. Francisco , Luís Veiga

Researchers developing implementations of distributed graph analytic algorithms require graph generators that yield graphs sharing the challenging characteristics of real-world graphs (small-world, scale-free, heavy-tailed degree…

Discrete Mathematics · Computer Science 2018-12-17 Geoffrey Sanders , Roger Pearce , Timothy La Fond , Jeremy Kepner

In this paper we present improved results on the problem of counting triangles in edge streamed graphs. For graphs with $m$ edges and at least $T$ triangles, we show that an extra look over the stream yields a two-pass treaming algorithm…

Data Structures and Algorithms · Computer Science 2016-03-10 Graham Cormode , Hossein Jowhari

Graph neural networks get significant attention for graph representation and classification in machine learning community. Attention mechanism applied on the neighborhood of a node improves the performance of graph neural networks.…

Machine Learning · Computer Science 2020-07-22 Sambaran Bandyopadhyay , Manasvi Aggarwal , M. Narasimha Murty

Topological Data Analysis (TDA) uses insights from topology to create representations of data able to capture global and local geometric and topological properties. Its methods have successfully been used to develop estimations of fractal…

Graphlets are induced subgraphs of a large network and are important for understanding and modeling complex networks. Despite their practical importance, graphlets have been severely limited to applications and domains with relatively small…

Social and Information Networks · Computer Science 2017-03-01 Ryan A. Rossi , Rong Zhou , Nesreen K. Ahmed

Graph Neural Networks (GNNs) are powerful tools for graph classification. One important operation for GNNs is the downsampling or pooling that can learn effective embeddings from the node representations. In this paper, we propose a new…

Machine Learning · Computer Science 2024-05-17 Zhehan Zhao , Lu Bai , Lixin Cui , Ming Li , Yue Wang , Lixiang Xu , Edwin R. Hancock

For the past two decades, the DB community has devoted substantial research to take advantage of cheap clusters of machines for distributed data analytics -- we believe that we are at the beginning of a paradigm shift. The scaling laws and…

Databases · Computer Science 2025-08-05 Bowen Wu , Wei Cui , Carlo Curino , Matteo Interlandi , Rathijit Sen

Graph Neural Networks (GNNs) have been emerging as a promising method for relational representation including recommender systems. However, various challenging issues of social graphs hinder the practical usage of GNNs for social…

Social and Information Networks · Computer Science 2019-08-08 Kyung-Min Kim , Donghyun Kwak , Hanock Kwak , Young-Jin Park , Sangkwon Sim , Jae-Han Cho , Minkyu Kim , Jihun Kwon , Nako Sung , Jung-Woo Ha

We describe a data structure that maintains the number of triangles in a dynamic undirected graph, subject to insertions and deletions of edges and of degree-zero vertices. More generally it can be used to maintain the number of copies of…

Data Structures and Algorithms · Computer Science 2015-07-16 David Eppstein , Emma S. Spiro

The National Science Foundation's Transdisciplinary Research in Principles of Data Science (TRIPODS) program aims to integrate three areas central to the foundations of data by uniting the statistics, mathematics, and theoretical computer…

Computers and Society · Computer Science 2019-09-09 Michael W. Mahoney

We develop unbiased strategies to probabilistic T-wave snowball sampling from graphs, where the interest of estimation may concern finite-order subgraphs such as triangles, cycles or stars. Our approaches encompass also the…

Methodology · Statistics 2023-05-24 Melike Oguz-Alper , Li-Chun Zhang

We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics. For instance similarity between two papers can be based on common authors, where…

Social and Information Networks · Computer Science 2011-09-09 Matthew Rocklin , Ali Pinar

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

Methodology · Statistics 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

We present an algorithm that computes the multipole coefficients of the galaxy three-point correlation function (3PCF) without explicitly considering triplets of galaxies. Rather, centering on each galaxy in the survey, it expands the…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-04 Zachary Slepian , Daniel J. Eisenstein

Individual behavioral engagement is an important indicator of active learning in collaborative settings, encompassing multidimensional behaviors mediated through various interaction modes. Little existing work has explored the use of…

Social and Information Networks · Computer Science 2023-12-15 Shihui Feng , Lixiang Yan , Linxuan Zhao , Roberto Martinez Maldonado , Dragan Gašević

Our society has never been more dependent on computer networks. Effective utilization of networks requires a detailed understanding of the normal background behaviors of network traffic. Large-scale measurements of networks are…

We provide a fast distributed algorithm for detecting $h$-cycles in the \textsf{Congested Clique} model, whose running time decreases as the number of $h$-cycles in the graph increases. In undirected graphs, constant-round algorithms are…

Data Structures and Algorithms · Computer Science 2024-08-28 Keren Censor-Hillel , Tomer Even , Virginia Vassilevska Williams

Recent empirical evidence has shown that in many real-world systems, successfully represented as networks, interactions are not limited to dyads, but often involve three or more agents at a time. These data are better described by…

Physics and Society · Physics 2021-04-01 Federico Musciotto , Federico Battiston , Rosario N. Mantegna

The currently most efficient algorithm for inference with a probabilistic network builds upon a triangulation of a network's graph. In this paper, we show that pre-processing can help in finding good triangulations forprobabilistic…

Artificial Intelligence · Computer Science 2013-01-14 Hans L. Bodlaender , Arie M. C. A. Koster , Frank van den Eijkhof , Linda C. van der Gaag