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Triangle Counting Under Edge Relationship Local Differential Privacy: The Case of Restricted Extended Local Views

  • Wenzheng Xia
  • , Shuangqing Xu
  • , Yifeng Zheng*
  • , Lei Xu
  • , Zhongyun Hua
  • *Corresponding author for this work
  • Harbin Institute of Technology Shenzhen
  • Hong Kong Polytechnic University
  • Nanjing University of Science and Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Triangle counting is a fundamental primitive in graph analysis. However, in decentralized graph settings, directly aggregating users’ local views would leak sensitive social connections. Ensuring edge privacy is challenging because users’ local views are often correlated. Existing methods typically focus on the Extended Local View (ELV) model, which assumes that users fully disclose their neighbor lists to all their neighbors. However, in realistic social network applications where users may selectively disclose their connections, this full-visibility assumption breaks, rendering ELV-based approaches inadequate. In this paper, we explicitly capture such selective disclosure behavior and formalize it as the Restricted ELV (RELV) model. With this as a foundation, we propose SEPALS, a new framework for accurate triangle counting under RELV. In SEPALS, we develop a targeted neighbor-list collection strategy to recover unobservable structural information and propose a redundancy-aware weighting mechanism to unbiasedly aggregate contributions from incomplete local views. We formally prove that SEPALS satisfies the advanced notion of edge relationship local differential privacy. SEPALS significantly outperforms baselines that directly adapt existing ELV-based approaches for the RELV model in accuracy.

Original languageEnglish
Title of host publicationAdvances in Knowledge Discovery and Data Mining - 30th Pacific-Asia Conference on Knowledge Discovery and Data Mining, PAKDD 2026, Proceedings
EditorsRaymond Chi-Wing Wong, Hanghang Tong, Hua Lu, James Kwok, Flora Salim, Yuanfeng Song, Man Lung Yiu
PublisherSpringer Science and Business Media Deutschland GmbH
Pages480-492
Number of pages13
ISBN (Print)9789819212996
DOIs
StatePublished - 2026
Externally publishedYes
Event30th Pacific-Asia Conference on Knowledge Discovery and Data Mining, PAKDD 2026 - Hong Kong, China
Duration: 9 Jun 202612 Jun 2026

Publication series

NameLecture Notes in Computer Science
Volume16597 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference30th Pacific-Asia Conference on Knowledge Discovery and Data Mining, PAKDD 2026
Country/TerritoryChina
CityHong Kong
Period9/06/2612/06/26

Keywords

  • Decentralized graph analysis
  • Edge relationship local differential privacy
  • Triangle counting

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