English

Bidirected minimum Manhattan network problem

Computational Geometry 2011-07-08 v1

Abstract

In the bidirected minimum Manhattan network problem, given a set T of n terminals in the plane, we need to construct a network N(T) of minimum total length with the property that the edges of N(T) are axis-parallel and oriented in a such a way that every ordered pair of terminals is connected in N(T) by a directed Manhattan path. In this paper, we present a polynomial factor 2 approximation algorithm for the bidirected minimum Manhattan network problem.

Keywords

Cite

@article{arxiv.1107.1359,
  title  = {Bidirected minimum Manhattan network problem},
  author = {Nicolas Catusse and Victor Chepoi and Karim Nouioua and Yann Vaxes},
  journal= {arXiv preprint arXiv:1107.1359},
  year   = {2011}
}

Comments

14 pages, 16 figures

R2 v1 2026-06-21T18:33:26.442Z