English

A Note on Approximating 2-Transmitters

Computational Geometry 2015-12-08 v1

Abstract

A k-transmitter in a simple orthogonal polygon P is a mobile guard that travels back and forth along an orthogonal line segment s inside P. The k-transmitter can see a point p in P if there exists a point q on s such that the line segment pq is normal to s and pq intersects the boundary of P in at most k points. In this paper, we give a 2-approximation algorithm for the problem of guarding a monotone orthogonal polygon with the minimum number of 2-transmitters.

Cite

@article{arxiv.1512.01699,
  title  = {A Note on Approximating 2-Transmitters},
  author = {Saeed Mehrabi and Abbas Mehrabi},
  journal= {arXiv preprint arXiv:1512.01699},
  year   = {2015}
}
R2 v1 2026-06-22T12:02:19.645Z