English

Graph Reconstruction via Distance Oracles

Data Structures and Algorithms 2013-04-25 v1

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 O~(n3/2)\tilde{O}(n^{3/2}); reconstruction of a degree bounded outerplanar graph with query complexity O~(n)\tilde{O}(n); and near-optimal approximate reconstruction of a general graph.

Keywords

Cite

@article{arxiv.1304.6588,
  title  = {Graph Reconstruction via Distance Oracles},
  author = {Claire Mathieu and Hang Zhou},
  journal= {arXiv preprint arXiv:1304.6588},
  year   = {2013}
}
R2 v1 2026-06-22T00:05:31.246Z