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Differentially private algorithms protect individuals in data analysis scenarios by ensuring that there is only a weak correlation between the existence of the user in the data and the result of the analysis. Dynamic graph algorithms…

Data Structures and Algorithms · Computer Science 2025-09-24 Hendrik Fichtenberger , Monika Henzinger , Lara Ost

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

Densest subgraph detection is a fundamental graph mining problem, with a large number of applications. There has been a lot of work on efficient algorithms for finding the densest subgraph in massive networks. However, in many domains, the…

Data Structures and Algorithms · Computer Science 2024-06-05 Dung Nguyen , Anil Vullikanti

The graph continual release model of differential privacy seeks to produce differentially private solutions to graph problems under a stream of edge updates where new private solutions are released after each update. Thus far, previously…

Data Structures and Algorithms · Computer Science 2025-04-17 Alessandro Epasto , Quanquan C. Liu , Tamalika Mukherjee , Felix Zhou

The rise of massive networks across diverse domains necessitates sophisticated graph analytics, often involving sensitive data and raising privacy concerns. This paper addresses these challenges using local differential privacy (LDP), which…

Data Structures and Algorithms · Computer Science 2025-08-28 Pranay Mundra , Charalampos Papamanthou , Julian Shun , Quanquan C. Liu

Differentially private algorithms allow large-scale data analytics while preserving user privacy. Designing such algorithms for graph data is gaining importance with the growth of large networks that model various (sensitive) relationships…

Data Structures and Algorithms · Computer Science 2022-11-22 Laxman Dhulipala , Quanquan C. Liu , Sofya Raskhodnikova , Jessica Shi , Julian Shun , Shangdi Yu

We initiate an investigation of node differential privacy for graphs in the local model of private data analysis. In our model, dubbed LNDP*, each node sees its own edge list and releases the output of a local randomizer on this input.…

Data Structures and Algorithms · Computer Science 2026-04-03 Sofya Raskhodnikova , Adam Smith , Connor Wagaman , Anatoly Zavyalov

Motivated by understanding the dynamics of sensitive social networks over time, we consider the problem of continual release of statistics in a network that arrives online, while preserving privacy of its participants. For our privacy…

Cryptography and Security · Computer Science 2018-09-20 Shuang Song , Susan Little , Sanjay Mehta , Staal Vinterbo , Kamalika Chaudhuri

In this paper, we address the challenge of differential privacy in the context of graph cuts, specifically focusing on the multiway cut and the minimum $k$-cut. We introduce edge-differentially private algorithms that achieve nearly optimal…

Cryptography and Security · Computer Science 2024-12-04 Rishi Chandra , Michael Dinitz , Chenglin Fan , Zongrui Zou

Graph analysts cannot directly obtain the global structure in decentralized social networks, and analyzing such a network requires collecting local views of the social graph from individual users. Since the edges between users may reveal…

Cryptography and Security · Computer Science 2022-12-13 Lele Zheng , Bowen Deng , Tao Zhang , Yulong Shen , Yang Cao

We study the Densest Subgraph (DSG) problem under the additional constraint of differential privacy. DSG is a fundamental theoretical question which plays a central role in graph analytics, and so privacy is a natural requirement. All known…

Data Structures and Algorithms · Computer Science 2024-04-09 Michael Dinitz , Satyen Kale , Silvio Lattanzi , Sergei Vassilvitskii

Motivated by growing concerns over ensuring privacy on social networks, we develop new algorithms and impossibility results for fitting complex statistical models to network data subject to rigorous privacy guarantees. We consider the…

Statistics Theory · Mathematics 2018-10-05 Christian Borgs , Jennifer Chayes , Adam Smith , Ilias Zadik

We describe the first algorithms that satisfy the standard notion of node-differential privacy in the continual release setting (i.e., without an assumed promise on input streams). Previous work addresses node-private continual release by…

Data Structures and Algorithms · Computer Science 2025-11-06 Palak Jain , Adam Smith , Connor Wagaman

Differentially private analysis of graphs is widely used for releasing statistics from sensitive graphs while still preserving user privacy. Most existing algorithms however are in a centralized privacy model, where a trusted data curator…

Cryptography and Security · Computer Science 2021-02-12 Jacob Imola , Takao Murakami , Kamalika Chaudhuri

We present a practically efficient algorithm for maintaining a global minimum cut in large dynamic graphs under both edge insertions and deletions. While there has been theoretical work on this problem, our algorithm is the first…

Data Structures and Algorithms · Computer Science 2021-01-14 Monika Henzinger , Alexander Noe , Christian Schulz

Personalized PageRank (PPR) is a fundamental tool in unsupervised learning of graph representations such as node ranking, labeling, and graph embedding. However, while data privacy is one of the most important recent concerns, existing PPR…

Cryptography and Security · Computer Science 2024-02-16 Alessandro Epasto , Vahab Mirrokni , Bryan Perozzi , Anton Tsitsulin , Peilin Zhong

We study the problem of continually releasing statistics of an evolving dataset under differential privacy. In the event-level setting, we show the first polynomial lower bounds on the additive error for insertions-only graph problems such…

Data Structures and Algorithms · Computer Science 2025-12-19 Bardiya Aryanfard , Monika Henzinger , David Saulpic , A. R. Sricharan

Differential privacy is the gold standard in the problem of privacy preserving data analysis, which is crucial in a wide range of disciplines. Vertex colouring is one of the most fundamental questions about a graph. In this paper, we study…

Data Structures and Algorithms · Computer Science 2025-09-05 Aleksander B. G. Christiansen , Eva Rotenberg , Teresa Anna Steiner , Juliette Vlieghe

A (fully) dynamic graph algorithm is a data structure that supports edge insertions, edge deletions, and answers certain queries that are specific to the problem under consideration. There has been a lot of research on dynamic algorithms…

Data Structures and Algorithms · Computer Science 2023-01-19 Jannick Borowitz , Ernestine Großmann , Christian Schulz

Many deployments of differential privacy in industry are in the local model, where each party releases its private information via a differentially private randomizer. We study triangle counting in the local model with edge differential…

Data Structures and Algorithms · Computer Science 2025-08-18 Talya Eden , Quanquan C. Liu , Sofya Raskhodnikova , Adam Smith
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