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arXiv · 2306.05916

Differentially Private All-Pairs Shortest Distances for Low Tree-Width Graphs

Javad B. Ebrahimi·Alireza Tofighi Mohammadi·Fatemeh Kermani
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Abstract

In this paper, we present a polynomial time algorithm for the problem of differentially private all pair shortest distances over the class of low tree-width graphs. Our result generalizes the result of Sealfon 2016 for the case of trees to a much larger family of graphs. Furthermore, if we restrict to the class of low tree-width graphs, the additive error of our algorithm is significantly smaller than that of the best known algorithm for this problem, proposed by Chen et. al. 2023.

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Javad B. Ebrahimi, Alireza Tofighi Mohammadi, Fatemeh Kermani. 2023-06-09. Differentially Private All-Pairs Shortest Distances for Low Tree-Width Graphs. https://arxiv.org/abs/2306.05916

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