English

Minimum Bisection is NP-hard on Unit Disk Graphs

Computational Complexity 2017-04-28 v3 Combinatorics

Abstract

In this paper we prove that the \textsc{Min-Bisection} problem is NP-hard on \emph{unit disk graphs}, thus solving a longstanding open question.

Cite

@article{arxiv.1404.0117,
  title  = {Minimum Bisection is NP-hard on Unit Disk Graphs},
  author = {Josep Diaz and George B. Mertzios},
  journal= {arXiv preprint arXiv:1404.0117},
  year   = {2017}
}

Comments

17 pages, 6 figures

R2 v1 2026-06-22T03:39:52.748Z