English

Reconstructing Metric Trees from Order Information on Triples is NP Complete

Combinatorics 2007-05-23 v1

Abstract

We show that reconstructing a tree from order information on triples is NP-hard. This is in contrast to the case for ultra-metrics and for subtree information on quadruples which are both known to allow polynomial time reconstruction.

Keywords

Cite

@article{arxiv.math/0603116,
  title  = {Reconstructing Metric Trees from Order Information on Triples is NP Complete},
  author = {Eric Babson},
  journal= {arXiv preprint arXiv:math/0603116},
  year   = {2007}
}
R2 v1 2026-07-22T17:32:27.642Z