English

Approximating the Balanced Minimum Evolution Problem

Data Structures and Algorithms 2012-01-31 v1 Discrete Mathematics

Abstract

We prove a strong inapproximability result for the Balanced Minimum Evolution Problem. Our proof also implies that the problem remains NP-hard even when restricted to metric instances. Furthermore, we give a MST-based 2-approximation algorithm for the problem for such instances.

Keywords

Cite

@article{arxiv.1104.1080,
  title  = {Approximating the Balanced Minimum Evolution Problem},
  author = {Samuel Fiorini and Gwenaël Joret},
  journal= {arXiv preprint arXiv:1104.1080},
  year   = {2012}
}
R2 v1 2026-06-21T17:50:16.064Z