Graph Reconstruction via Distance Oracles

Claire Mathieu; Hang Zhou

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arXiv · 1304.6588

Graph Reconstruction via Distance Oracles

Claire Mathieu·Hang Zhou

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Abstract

We study the problem of reconstructing a hidden graph given access to a distance oracle. We design randomized algorithms for the following problems: reconstruction of a degree bounded graph with query complexity $\tilde{O}(n^{3/2})$; reconstruction of a degree bounded outerplanar graph with query complexity $\tilde{O}(n)$; and near-optimal approximate reconstruction of a general graph.

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BibTeX RIS

Claire Mathieu, Hang Zhou. 2013-04-24. Graph Reconstruction via Distance Oracles. https://arxiv.org/abs/1304.6588

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