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On signed social networks, balanced and unbalanced triangles are a critical motif due to their role as the foundations of Structural Balance Theory. The uses for these motifs have been extensively explored in networks with known edge signs,…

Data Structures and Algorithms · Computer Science 2026-02-17 Alexander Zhou , Haoyang Li , Anxin Tian , Zhiyuan Li , Yue Wang

Local thresholding algorithms were first presented more than a decade ago and have since been applied to a variety of data mining tasks in peer-to-peer systems, wireless sensor networks, and in grid systems. One critical assumption made by…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-04-09 Ran Wolff

Publishing graph statistics under node differential privacy has attracted much attention since it provides a stronger privacy guarantee than edge differential privacy. Existing works related to node differential privacy assume a trusted…

Cryptography and Security · Computer Science 2023-04-18 Shang Liu , Yang Cao , Takao Murakami , Masatoshi Yoshikawa

Analyzing data owned by several parties while achieving a good trade-off between utility and privacy is a key challenge in federated learning and analytics. In this work, we introduce a novel relaxation of local differential privacy (LDP)…

Machine Learning · Computer Science 2022-03-08 Edwige Cyffers , Aurélien Bellet

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 propose an algorithm for counting the number of cycles under local differential privacy for degeneracy-bounded input graphs. Numerous studies have focused on counting the number of triangles under the privacy notion, demonstrating that…

Cryptography and Security · Computer Science 2024-09-30 Quentin Hillebrand , Vorapong Suppakitpaisarn , Tetsuo Shibuya

Counting and finding triangles in graphs is often used in real-world analytics to characterize cohesiveness and identify communities in graphs. In this paper, we propose the novel concept of a cover-edge set that can be used to find…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-19 David A. Bader , Fuhuan Li , Anya Ganeshan , Ahmet Gundogdu , Jason Lew , Oliver Alvarado Rodriguez , Zhihui Du

Motivated by applications in clustering and synthetic data generation, we consider the problem of releasing a minimum spanning tree (MST) under edge-weight differential privacy constraints where a graph topology $G=(V,E)$ with $n$ vertices…

Data Structures and Algorithms · Computer Science 2024-08-14 Rasmus Pagh , Lukas Retschmeier

Modern applications increasingly involve highly sensitive network data, where raw edges cannot be shared due to privacy constraints. We propose \texttt{TransNet}, a new spectral clustering-based transfer learning framework that improves…

Machine Learning · Statistics 2026-04-15 Xiao Guo , Xuming He , Xiangyu Chang , Shujie Ma

The number of triangles in a graph is useful to deduce a plethora of important features of the network that the graph is modeling. However, finding the exact value of this number is computationally expensive. Hence, a number of…

Data Structures and Algorithms · Computer Science 2017-10-30 Duru Türkoğlu , Ata Turk

We consider a decentralized learning setting in which data is distributed over nodes in a graph. The goal is to learn a global model on the distributed data without involving any central entity that needs to be trusted. While gossip-based…

Information Theory · Computer Science 2021-03-17 Ghadir Ayache , Salim El Rouayheb

Graph Neural Networks have achieved tremendous success in modeling complex graph data in a variety of applications. However, there are limited studies investigating privacy protection in GNNs. In this work, we propose a learning framework…

Machine Learning · Computer Science 2024-08-07 Karuna Bhaila , Wen Huang , Yongkai Wu , Xintao Wu

Real-world graphs often manifest as a massive temporal stream of edges. The need for real-time analysis of such large graph streams has led to progress on low memory, one-pass streaming graph algorithms. These algorithms were designed for…

Data Structures and Algorithms · Computer Science 2014-10-16 Madhav Jha , C. Seshadhri , Ali Pinar

Differential Privacy is the gold standard in privacy-preserving data analysis. This paper addresses the challenge of producing a differentially edge-private vertex coloring. In this paper, we present two novel algorithms to approach this…

Data Structures and Algorithms · Computer Science 2026-02-17 Michael Xie , Jiayi Wu , Dung Nguyen , Aravind Srinivasan

Graph data is used in a wide range of applications, while analyzing graph data without protection is prone to privacy breach risks. To mitigate the privacy risks, we resort to the standard technique of differential privacy to publish a…

Cryptography and Security · Computer Science 2023-10-16 Quan Yuan , Zhikun Zhang , Linkang Du , Min Chen , Peng Cheng , Mingyang Sun

Social graphs derived from online social interactions contain a wealth of information that is nowadays extensively used by both industry and academia. However, as social graphs contain sensitive information, they need to be properly…

Cryptography and Security · Computer Science 2019-12-03 Yang Zhang , Mathias Humbert , Bartlomiej Surma , Praveen Manoharan , Jilles Vreeken , Michael Backes

Privacy-preserving training on sensitive data commonly relies on differentially private stochastic optimization with gradient clipping and Gaussian noise. The clipping threshold is a critical control knob: if set too small, systematic…

Machine Learning · Computer Science 2026-02-12 Mohammad Partohaghighi , Roummel Marcia , Bruce J. West , YangQuan Chen

This paper proposes a differentially private gradient-tracking-based distributed stochastic optimization algorithm over directed graphs. In particular, privacy noises are incorporated into each agent's state and tracking variable to…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Jialong Chen , Jimin Wang , Ji-Feng Zhang

We study the problem of privately releasing an approximate minimum spanning tree (MST). Given a graph $G = (V, E, \vec{W})$ where $V$ is a set of $n$ vertices, $E$ is a set of $m$ undirected edges, and $ \vec{W} \in \mathbb{R}^{|E|} $ is an…

Data Structures and Algorithms · Computer Science 2024-12-16 Rasmus Pagh , Lukas Retschmeier , Hao Wu , Hanwen Zhang

In a celebrated work, Blais, Brody, and Matulef developed a technique for proving property testing lower bounds via reductions from communication complexity. Their work focused on testing properties of functions, and yielded new lower…

Computational Complexity · Computer Science 2018-01-26 Talya Eden , Will Rosenbaum