English

Pi/2-Angle Yao Graphs are Spanners

Computational Geometry 2012-11-15 v1 Data Structures and Algorithms

Abstract

We show that the Yao graph Y4 in the L2 metric is a spanner with stretch factor 8(29+23sqrt(2)). Enroute to this, we also show that the Yao graph Y4 in the Linf metric is a planar spanner with stretch factor 8.

Cite

@article{arxiv.1001.2913,
  title  = {Pi/2-Angle Yao Graphs are Spanners},
  author = {Prosenjit Bose and Mirela Damian and Karim Douieb and Joseph O'Rourke and Ben Seamone and Michiel Smid and Stefanie Wuhrer},
  journal= {arXiv preprint arXiv:1001.2913},
  year   = {2012}
}

Comments

20 pages, 9 figures

R2 v1 2026-06-21T14:35:48.243Z