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In an article [3] published recently in this journal, it was shown that when k >= 3, the problem of deciding whether the distinguishing chromatic number of a graph is at most k is NP-hard. We consider the problem when k = 2. In regards to…

Computational Complexity · Computer Science 2009-07-06 Elaine M. Eschen , Chinh T. Hoang , R. Sritharan , Lorna Stewart

We study the problem of Stochastic Convex Optimization (SCO) under the constraint of local Label Differential Privacy (L-LDP). In this setting, the features are considered public, but the corresponding labels are sensitive and must be…

Data Structures and Algorithms · Computer Science 2026-05-12 Lynn Chua , Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Ziteng Sun , Chiyuan Zhang

High-quality real-world data (RWD) is essential for healthcare but must be transformed to comply with the General Data Protection Regulation (GDPR). GDPRs broad definitions of quasi-identifiers (QIDs) and sensitive attributes (SAs)…

Cryptography and Security · Computer Science 2025-06-04 Hamza Khan , Lore Menten , Liesbet M. Peeters

In this paper, we consider the problem of degradation of anonymity upon linkages of anonymized datasets. We work in the setting where an adversary links together $t\geq 2$ anonymized datasets in which a user of interest participates, based…

Information Theory · Computer Science 2025-06-25 V. Arvind Rameshwar , Anshoo Tandon

We consider the following problem: for a given graph $G$ and two integers $k$ and $d$, can we apply a fixed graph operation at most $k$ times in order to reduce a given graph parameter $\pi$ by at least $d$? We show that this problem is…

Combinatorics · Mathematics 2022-10-20 Felicia Lucke , Felix Mann

Local differential privacy (LPD) is a distributed variant of differential privacy (DP) in which the obfuscation of the sensitive information is done at the level of the individual records, and in general it is used to sanitize data that are…

Cryptography and Security · Computer Science 2018-05-04 Mário S. Alvim , Konstantinos Chatzikokolakis , Catuscia Palamidessi , Anna Pazii

A central problem in differentially private data analysis is how to design efficient algorithms capable of answering large numbers of counting queries on a sensitive database. Counting queries of the form "What fraction of individual…

Cryptography and Security · Computer Science 2013-10-02 Jonathan Ullman

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

Privacy-preserving data analysis is emerging as a challenging problem with far-reaching impact. In particular, synthetic data are a promising concept toward solving the aporetic conflict between data privacy and data sharing. Yet, it is…

Cryptography and Security · Computer Science 2021-09-07 March Boedihardjo , Thomas Strohmer , Roman Vershynin

Sanitizing sensitive text data typically involves removing personally identifiable information (PII) or generating synthetic data under the assumption that these methods adequately protect privacy; however, their effectiveness is often only…

Cryptography and Security · Computer Science 2026-03-17 Rui Xin , Niloofar Mireshghallah , Shuyue Stella Li , Michael Duan , Hyunwoo Kim , Yejin Choi , Yulia Tsvetkov , Sewoong Oh , Pang Wei Koh

We consider accurately answering smooth queries while preserving differential privacy. A query is said to be $K$-smooth if it is specified by a function defined on $[-1,1]^d$ whose partial derivatives up to order $K$ are all bounded. We…

Databases · Computer Science 2014-01-07 Chi Jin , Ziteng Wang , Junliang Huang , Yiqiao Zhong , Liwei Wang

Sharing or publishing social network data while accounting for privacy of individuals is a difficult task due to the interconnectedness of nodes in networks. A key question in k-anonymity, a widely studied notion of privacy, is how to…

Social and Information Networks · Computer Science 2025-06-27 Rachel G. de Jong , Mark P. J. van der Loo , Frank W. Takes

With the introduction of large-scale network data, including population-scale social networks, techniques for privacy-aware sharing of network data become increasingly important. While existing $k$-anonymity approaches can model different…

Social and Information Networks · Computer Science 2026-05-13 Rachel G. de Jong , Mark P. J. van der Loo , Frank W. Takes

In this paper, we consider the maximum $k$-edge-colorable subgraph problem. In this problem we are given a graph $G$ and a positive integer $k$, the goal is to take $k$ matchings of $G$ such that their union contains maximum number of…

Combinatorics · Mathematics 2025-10-15 Vahan Mkrtchyan

Ensuring privacy of sensitive data is essential in many contexts, such as healthcare data, banks, e-commerce, wireless sensor networks, and social networks. It is common that different entities coordinate or want to rely on a third party to…

Cryptography and Security · Computer Science 2014-06-16 Pradeep Chathuranga Weeraddana , George Athanasiou , Martin Jakobsson , Carlo Fischione , John S. Baras

To quantify trade-offs between increasing demand for open data sharing and concerns about sensitive information disclosure, statistical data privacy (SDP) methodology analyzes data release mechanisms which sanitize outputs based on…

Cryptography and Security · Computer Science 2022-05-09 Aleksandra Slavkovic , Jeremy Seeman

In this work, we study the applications of differential privacy (DP) in the context of graph-structured data. We discuss the formulations of DP applicable to the publication of graphs and their associated statistics as well as machine…

Cryptography and Security · Computer Science 2022-03-18 Tamara T. Mueller , Dmitrii Usynin , Johannes C. Paetzold , Daniel Rueckert , Georgios Kaissis

The NP-hard Metric Dimension problem is to decide for a given graph G and a positive integer k whether there is a vertex subset of size at most k that separates all vertex pairs in G. Herein, a vertex v separates a pair {u,w} if the…

Computational Complexity · Computer Science 2012-11-08 Sepp Hartung , André Nichterlein

Web query log data contain information useful to research; however, release of such data can re-identify the search engine users issuing the queries. These privacy concerns go far beyond removing explicitly identifying information such as…

Databases · Computer Science 2010-12-06 Amin Milani Fard , Ke Wang

The protection of personal data has become a central topic in software development, especially with the implementation of the General Data Protection Law (LGPD) in Brazil and the General Data Protection Regulation (GDPR) in the European…

Cryptography and Security · Computer Science 2025-07-25 André Menolli , Luiz Fernando Nunes , Thiago A. Coleti
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