English

Optimal Algorithm to Reconstruct a Tree from a Subtree Distance

Data Structures and Algorithms 2019-02-26 v1

Abstract

This paper addresses the problem of finding a representation of a subtree distance, which is an extension of the tree metric. We show that a minimal representation is uniquely determined by a given subtree distance, and give a linear time algorithm that finds such a representation. This algorithm achieves the optimal time complexity.

Keywords

Cite

@article{arxiv.1902.08742,
  title  = {Optimal Algorithm to Reconstruct a Tree from a Subtree Distance},
  author = {Takanori Maehara and Kazutoshi Ando},
  journal= {arXiv preprint arXiv:1902.08742},
  year   = {2019}
}
R2 v1 2026-06-23T07:48:45.877Z