English

A PTAS for vertex guarding weakly-visible polygons - An extended abstract

Computational Geometry 2018-10-02 v2

Abstract

In this extended abstract, we present a PTAS for guarding the vertices of a weakly-visible polygon PP from a subset of its vertices, or in other words, a PTAS for computing a minimum dominating set of the visibility graph of the vertices of PP. We then show how to obtain a PTAS for vertex guarding PP's boundary.

Cite

@article{arxiv.1803.02160,
  title  = {A PTAS for vertex guarding weakly-visible polygons - An extended abstract},
  author = {Matthew J. Katz},
  journal= {arXiv preprint arXiv:1803.02160},
  year   = {2018}
}
R2 v1 2026-06-23T00:43:41.764Z