English

Improved Spanning Ratio for Low Degree Plane Spanners

Computational Geometry 2015-07-03 v2

Abstract

We describe an algorithm that builds a plane spanner with a maximum degree of 8 and a spanning ratio of approximately 4.414 with respect to the complete graph. This is the best currently known spanning ratio for a plane spanner with a maximum degree of less than 14.

Cite

@article{arxiv.1506.09061,
  title  = {Improved Spanning Ratio for Low Degree Plane Spanners},
  author = {Prosenjit Bose and Darryl Hill and Michiel Smid},
  journal= {arXiv preprint arXiv:1506.09061},
  year   = {2015}
}

Comments

39 pages, appendix has been integrated into the main paper

R2 v1 2026-06-22T10:02:57.734Z