2026-03-11T03:45:49Z https://ipsj.ixsq.nii.ac.jp/oai

oai:ipsj.ixsq.nii.ac.jp:00233376 2025-01-19T10:07:15Z 1164:2592:11452:11525

Private Triangle Counting for Degeneracy-bounded Graphs Private Triangle Counting for Degeneracy-bounded Graphs Quentin, Hillebrand Vorapong, Suppakitpaisarn Tetsuo, Shibuya Quentin, Hillebrand Vorapong, Suppakitpaisarn Tetsuo, Shibuya This article introduces a new triangle counting algorithm under the framework of edge local differential privacy leveraging the degeneracy-bounded nature of real-world graphs. We describe a pre-processing step that performs a re-ordering of the vertices according to their degrees. Despite its small budget usage, this ordering effectively reduces the occurrence of some specific patterns in the graph. In turn, the diminished number of those patterns enable our triangle counting algorithm to minimize its error on the estimation. This results in the error of our triangle counting scaling as a function of the degeneracy unlike state of the art algorithms for which it was scaling with the maximal degree, effectively increasing the accuracy in practice. This article introduces a new triangle counting algorithm under the framework of edge local differential privacy leveraging the degeneracy-bounded nature of real-world graphs. We describe a pre-processing step that performs a re-ordering of the vertices according to their degrees. Despite its small budget usage, this ordering effectively reduces the occurrence of some specific patterns in the graph. In turn, the diminished number of those patterns enable our triangle counting algorithm to minimize its error on the estimation. This results in the error of our triangle counting scaling as a function of the degeneracy unlike state of the art algorithms for which it was scaling with the maximal degree, effectively increasing the accuracy in practice. 情報処理学会 2024-03-14 eng technical report https://ipsj.ixsq.nii.ac.jp/records/233376 2188-8566 AN1009593X 研究報告アルゴリズム（AL） 2024-AL-197 1 1 7 https://ipsj.ixsq.nii.ac.jp/record/233376/files/IPSJ-AL24197001.pdf application/pdf 900.8 kB 2026-03-14