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Deep graph clustering, which aims to group the nodes of a graph into disjoint clusters with deep neural networks, has achieved promising progress in recent years. However, the existing methods fail to scale to the large graph with million…

机器学习 · 计算机科学 2023-07-17 Yue Liu , Ke Liang , Jun Xia , Sihang Zhou , Xihong Yang , Xinwang Liu , Stan Z. Li

Streaming graphs are drawing increasing attention in both academic and industrial communities as many graphs in real applications evolve over time. Continuous subgraph matching (shorted as CSM) aims to report the incremental matches of a…

数据结构与算法 · 计算机科学 2023-04-26 Rongjian Yang , Zhijie Zhang , Weiguo Zheng , Jeffery Xu Yu

Finding dense subgraphs is a fundamental algorithmic tool in data mining, community detection, and clustering. In this problem, one aims to find an induced subgraph whose edge-to-vertex ratio is maximized. We study the directed case of this…

数据结构与算法 · 计算机科学 2023-11-21 Slobodan Mitrović , Theodore Pan

Network analysis has played a key role in knowledge discovery and data mining. In many real-world applications in recent years, we are interested in mining multilayer networks, where we have a number of edge sets called layers, which encode…

社会与信息网络 · 计算机科学 2022-11-08 Yasushi Kawase , Atsushi Miyauchi , Hanna Sumita

We develop a novel, general and computationally efficient framework, called Divide and Conquer Dynamic Programming (DCDP), for localizing change points in time series data with high-dimensional features. DCDP deploys a class of greedy…

统计方法学 · 统计学 2023-06-05 Wanshan Li , Daren Wang , Alessandro Rinaldo

Real-world graphs often evolve over time, making community or cluster detection a crucial task. In this technical report, we extend three dynamic approaches - Naive-dynamic (ND), Delta-screening (DS), and Dynamic Frontier (DF) - to our…

分布式、并行与集群计算 · 计算机科学 2024-12-30 Subhajit Sahu

In this work, we study two fundamental graph optimization problems, minimum vertex cover (MVC) and maximum-cardinality matching (MCM), for intersection graphs of geometric objects, e.g., disks, rectangles, hypercubes, etc., in…

计算几何 · 计算机科学 2024-02-15 Sujoy Bhore , Timothy M. Chan

The $k$-defective clique model relaxes the strict completeness constraint of the traditional clique by allowing up to $k$ missing edges, providing a robust formulation for detecting cohesive structures in noisy graphs. Consequently, the…

数据库 · 计算机科学 2026-05-19 Kewu Yang , Kaiqiang Yu , Shengxin Liu , Zhaoquan Gu

Anomaly detection is critical for finding suspicious behavior in innumerable systems. We need to detect anomalies in real-time, i.e. determine if an incoming entity is anomalous or not, as soon as we receive it, to minimize the effects of…

机器学习 · 计算机科学 2023-01-31 Siddharth Bhatia

Finding a Maximum Clique is a classic property test from graph theory; find any one of the largest complete subgraphs in an Erd\"os-R\'enyi G(N, p) random graph. We use Maximum Clique to explore the structure of the problem as a function of…

无序系统与神经网络 · 物理学 2023-05-26 Raffaele Marino , Scott Kirkpatrick

Recent advances in dynamic graph processing have enabled the analysis of highly dynamic graphs with change at rates as high as millions of edge changes per second. Solutions in this domain, however, have been demonstrated only for…

数据结构与算法 · 计算机科学 2023-11-14 Juntong Luo , Scott Sallinen , Matei Ripeanu

Dense subgraph discovery aims to find a dense component in edge-weighted graphs. This is a fundamental graph-mining task with a variety of applications and thus has received much attention recently. Although most existing methods assume…

机器学习 · 计算机科学 2020-06-25 Yuko Kuroki , Atsushi Miyauchi , Junya Honda , Masashi Sugiyama

We analyze the problem of identifying large cliques in graphs that are affected by adversarial uncertainty. More specifically, we consider a new formulation, namely the adversarial maximum clique problem, which extends the classical…

最优化与控制 · 数学 2026-01-12 Immanuel Bomze , Chiara Faccio , Francesco Rinaldi , Giovanni Spisso

Depth first search (DFS) tree is a fundamental data structure for solving graph problems. The classical algorithm [SiComp74] for building a DFS tree requires $O(m+n)$ time for a given graph $G$ having $n$ vertices and $m$ edges. Recently,…

数据结构与算法 · 计算机科学 2017-05-11 Shahbaz Khan

Detecting fraudulent activities in financial and e-commerce transaction networks is crucial. One effective method for this is Densest Subgraph Discovery (DSD). However, deploying DSD methods in production systems faces substantial…

数据库 · 计算机科学 2025-04-15 Jiaxin Jiang , Siyuan Yao , Yuchen Li , Qiange Wang , Bingsheng He , Min Chen

A $k$-defective clique is a relaxation of the traditional clique definition, allowing up to $k$ missing edges. This relaxation is crucial in various real-world applications such as link prediction, community detection, and social network…

数据结构与算法 · 计算机科学 2025-12-12 Jihoon Jang , Yehyun Nam , Kunsoo Park , Hyunjoon Kim

The proliferation of fake reviews, often produced by organized groups, undermines consumer trust and fair competition on online platforms. These groups employ sophisticated strategies that evade traditional detection methods, particularly…

社会与信息网络 · 计算机科学 2026-03-10 Jing Zhang , Ke Huang , Yao Zhang , Bin Guo , Zhiwen Yu

Many studies have been conducted on seeking the efficient solution for subgraph similarity search over certain (deterministic) graphs due to its wide application in many fields, including bioinformatics, social network analysis, and…

数据库 · 计算机科学 2012-05-31 Ye Yuan , Guoren Wang , Lei Chen , Haixun Wang

With the rapid growth of unstructured and semistructured data, parallelizing graph algorithms has become essential for efficiency. However, due to the inherent irregularity in computation, memory access patterns, and communication, graph…

分布式、并行与集群计算 · 计算机科学 2025-07-16 Nibedita Behera , Ashwina Kumar , Atharva Chougule , Mohammed Shan P S , Rushabh Nirdosh Lalwani , Rupesh Nasre

With the ubiquity of large-scale graph data in a variety of application domains, querying them effectively is a challenge. In particular, reachability queries are becoming increasingly important, especially for containment, subsumption, and…

数据库 · 计算机科学 2013-01-08 Hilmi Yildirim , Vineet Chaoji , Mohammed J. Zaki