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We consider the privacy-preserving computation of node influence in distributed social networks, as measured by egocentric betweenness centrality (EBC). Motivated by modern communication networks spanning multiple providers, we show for the…

Cryptography and Security · Computer Science 2020-05-29 Leyla Roohi , Benjamin I. P. Rubinstein , Vanessa Teague

Graphs are the dominant formalism for modeling multi-agent systems. The algebraic connectivity of a graph is particularly important because it provides the convergence rates of consensus algorithms that underlie many multi-agent control and…

Cryptography and Security · Computer Science 2021-04-02 Bo Chen , Calvin Hawkins , Kasra Yazdani , Matthew Hale

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

Centrality is one of the most fundamental metrics in network science. Despite an abundance of methods for measuring centrality of individual vertices, there are by now only a few metrics to measure centrality of individual edges. We modify…

Physics and Society · Physics 2019-09-25 Timo Bröhl , Klaus Lehnertz

As network data has become increasingly prevalent, a substantial amount of attention has been paid to the privacy issue in publishing network data. One of the critical challenges for data publishers is to preserve the topological structures…

Methodology · Statistics 2024-06-24 Yaoming Zhen , Shirong Xu , Junhui Wang

Researchers increasingly use data on social and economic networks to study a range of social science questions, but releasing statistics derived from networks can raise significant privacy concerns. We show how to release network…

Applications · Statistics 2026-03-17 Tom A. Rutter , Yuxin Liu , M. Amin Rahimian

From many datasets gathered in online social networks, well defined community structures have been observed. A large number of users participate in these networks and the size of the resulting graphs poses computational challenges. There is…

Social and Information Networks · Computer Science 2014-01-15 Alexander V. Mantzaris

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

Differential privacy has been used to privately calculate numerous network properties, but existing approaches often require the development of a new privacy mechanism for each property of interest. Therefore, we present a framework for…

Optimization and Control · Mathematics 2025-10-03 Huaiyuan Rao , Calvin Hawkins , Alexander Benvenuti , Matthew Hale

We propose an algorithm for counting below-threshold triangles in weighted graphs under local weight differential privacy. While prior work has largely focused on unweighted graphs, edge weights are intrinsic to many real-world networks. We…

Data Structures and Algorithms · Computer Science 2026-02-17 Kevin Pfisterer , Quentin Hillebrand , Vorapong Suppakitpaisarn

This paper develops a framework for privatizing the spectrum of the graph Laplacian of an undirected graph using differential privacy. We consider two privacy formulations. The first obfuscates the presence of edges in the graph and the…

Optimization and Control · Mathematics 2022-11-29 Calvin Hawkins , Bo Chen , Kasra Yazdani , Matthew Hale

Differential privacy is often studied in one of two models. In the central model, a single analyzer has the responsibility of performing a privacy-preserving computation on data. But in the local model, each data owner ensures their own…

Cryptography and Security · Computer Science 2022-05-26 Albert Cheu

Computing the principal component (PC) of the adjacency matrix of an undirected graph has several applications ranging from identifying key vertices for influence maximization and controlling diffusion processes, to discovering densely…

Data Structures and Algorithms · Computer Science 2026-03-06 Alireza Khayatian , Anil Vullikanti , Aritra Konar

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

Differential privacy is typically studied in the central model where a trusted "aggregator" holds the sensitive data of all the individuals and is responsible for protecting their privacy. A popular alternative is the local model in which…

Cryptography and Security · Computer Science 2020-09-14 Thomas Steinke

Betweenness centrality, measured by the number of times a vertex occurs on all shortest paths of a graph, has been recognized as a key indicator for the importance of a vertex in the network. However, the betweenness of a vertex is often…

Databases · Computer Science 2021-07-22 Qi Zhang , Rong-Hua Li , Minjia Pan , Yongheng Dai , Guoren Wang , Ye Yuan

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

Modelling edge weights play a crucial role in the analysis of network data, which reveals the extent of relationships among individuals. Due to the diversity of weight information, sharing these data has become a complicated challenge in a…

Statistics Theory · Mathematics 2020-04-28 Yifan Fan , Huiming Zhang , Ting Yan

The huge computation demand of deep learning models and limited computation resources on the edge devices calls for the cooperation between edge device and cloud service by splitting the deep models into two halves. However, transferring…

Cryptography and Security · Computer Science 2020-01-03 Ruiyuan Gao , Ming Dun , Hailong Yang , Zhongzhi Luan , Depei Qian

Differential privacy (DP) has been widely adopted to protect sensitive information in graph analytics. While edge-DP, which protects privacy at the edge level, has been extensively studied, node-DP, offering stronger protection for entire…

Databases · Computer Science 2025-11-26 Yihua Hu , Hao Ding , Wei Dong
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