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In this paper we study the problem of dynamically maintaining graph properties under batches of edge insertions and deletions in the massively parallel model of computation. In this setting, the graph is stored on a number of machines, each…

数据结构与算法 · 计算机科学 2019-08-07 David Durfee , Laxman Dhulipala , Janardhan Kulkarni , Richard Peng , Saurabh Sawlani , Xiaorui Sun

A graph with $n$ vertices is an $f(\cdot)$-dense graph if it has at least $f(n)$ edges, $f(\cdot)$ being a well-defined function. The notion $f(\cdot)$-dense graph encompasses various clique models like $\gamma$-quasi cliques, $k$-defective…

数据结构与算法 · 计算机科学 2025-11-07 Yi Zhou , Chunyu Luo , Zhengren Wang , Zhang-Hua Fu

Recent research on deep graph learning has shifted from static to dynamic graphs, motivated by the evolving behaviors observed in complex real-world systems. However, the temporal extension in dynamic graphs poses significant data…

机器学习 · 计算机科学 2025-06-17 Dong Chen , Shuai Zheng , Yeyu Yan , Muhao Xu , Zhenfeng Zhu , Yao Zhao , Kunlun He

We consider the problem of maintaining a hierarchical agglomerative clustering (HAC) in the dynamic setting, when the input is subject to point insertions and deletions. We introduce DynHAC - the first dynamic HAC algorithm for the popular…

数据结构与算法 · 计算机科学 2025-01-15 Shangdi Yu , Laxman Dhulipala , Jakub Łącki , Nikos Parotsidis

Network embedding, a graph representation learning method illustrating network topology by mapping nodes into lower-dimension vectors, is challenging to accommodate the ever-changing dynamic graphs in practice. Existing research is mainly…

社会与信息网络 · 计算机科学 2023-06-16 Haoran Deng , Yang Yang , Jiahe Li , Haoyang Cai , Shiliang Pu , Weihao Jiang

The graph retrieval problem is to search in a large corpus of graphs for ones that are most similar to a query graph. A common consideration for scoring similarity is the maximum common subgraph (MCS) between the query and corpus graphs,…

机器学习 · 计算机科学 2022-10-21 Indradyumna Roy , Soumen Chakrabarti , Abir De

Dynamic recommendation is essential for modern recommender systems to provide real-time predictions based on sequential data. In real-world scenarios, the popularity of items and interests of users change over time. Based on this…

信息检索 · 计算机科学 2021-01-11 Xiaohan Li , Mengqi Zhang , Shu Wu , Zheng Liu , Liang Wang , Philip S. Yu

This paper presents an efficient parallel approximation scheme for a new class of min-max problems. The algorithm is derived from the matrix multiplicative weights update method and can be used to find near-optimal strategies for…

量子物理 · 物理学 2015-03-17 Gus Gutoski , Xiaodi Wu

The use of network based approaches to model and analyse large datasets is currently a growing research field. For instance in biology and medicine, networks are used to model interactions among biological molecules as well as relations…

数据结构与算法 · 计算机科学 2020-09-04 Pietro Hiram Guzzi , Emanuel Salerno , Giuseppe Tradigo , Pierangelo Veltri

Dense subgraph search in bipartite graphs is a fundamental problem in graph analysis, with wide-ranging applications in fraud detection, recommendation systems, and social network analysis. The recently proposed $(\alpha, \beta)$-dense…

数据库 · 计算机科学 2025-08-27 Yalong Zhang , Rong-Hua Li , Qi Zhang , Guoren Wang

A dynamic graph algorithm is a data structure that answers queries about a property of the current graph while supporting graph modifications such as edge insertions and deletions. Prior work has shown strong conditional lower bounds for…

数据结构与算法 · 计算机科学 2023-01-30 Monika Henzinger , Ami Paz , A. R. Sricharan

Continuous subgraph matching (CSM) algorithms find the occurrences of a given pattern on a stream of data graphs online. A number of incremental CSM algorithms have been proposed. However, a systematical study on these algorithms is missing…

数据库 · 计算机科学 2022-03-15 Xibo Sun , Shixuan Sun , Qiong Luo , Bingsheng He

We present Deep Graph Infomax (DGI), a general approach for learning node representations within graph-structured data in an unsupervised manner. DGI relies on maximizing mutual information between patch representations and corresponding…

Recent results on supercomputers show that beyond 65K cores, the efficiency of molecular dynamics simulations of interfacial systems decreases significantly. In this paper, we introduce a dynamic cutoff method (DCM) for interfacial systems…

计算物理 · 物理学 2017-01-23 Paul Springer , Ahmed E. Ismail , Paolo Bientinesi

In this work we provide a new technique to design fast approximation algorithms for graph problems where the points of the graph lie in a metric space. Specifically, we present a sampling approach for such metric graphs that, using a…

数据结构与算法 · 计算机科学 2018-07-26 Hossein Esfandiari , Michael Mitzenmacher

Community detection is a discovery tool used by network scientists to analyze the structure of real-world networks. It seeks to identify natural divisions that may exist in the input networks that partition the vertices into coherent…

社会与信息网络 · 计算机科学 2019-09-24 Neda Zarayeneh , Ananth Kalyanaraman

In this paper we give the first efficient algorithms for the $k$-center problem on dynamic graphs undergoing edge updates. In this problem, the goal is to partition the input into $k$ sets by choosing $k$ centers such that the maximum…

数据结构与算法 · 计算机科学 2024-01-10 Emilio Cruciani , Sebastian Forster , Gramoz Goranci , Yasamin Nazari , Antonis Skarlatos

Dynamic networks are ubiquitous for modelling sequential graph-structured data, e.g., brain connectome, population flows and messages exchanges. In this work, we consider dynamic networks that are temporal sequences of graph snapshots, and…

机器学习 · 统计学 2022-03-30 Deborah Sulem , Henry Kenlay , Mihai Cucuringu , Xiaowen Dong

This manuscript provides a comprehensive review of the Maximum Clique Problem, a computational problem that involves finding subsets of vertices in a graph that are all pairwise adjacent to each other. The manuscript covers in a simple way…

人工智能 · 计算机科学 2024-03-18 Raffaele Marino , Lorenzo Buffoni , Bogdan Zavalnij

$k$-clique listing is a vital graph mining operator with diverse applications in various networks. The state-of-the-art algorithms all adopt a branch-and-bound (BB) framework with a vertex-oriented branching strategy (called VBBkC), which…

数据库 · 计算机科学 2024-01-09 Kaixin Wang , Kaiqiang Yu , Cheng Long