English

Some Properties of Yao Y4 Subgraphs

Computational Geometry 2009-05-15 v1 Discrete Mathematics

Abstract

The Yao graph for k=4, Y4, is naturally partitioned into four subgraphs, one per quadrant. We show that the subgraphs for one quadrant differ from the subgraphs for two adjacent quadrants in three properties: planarity, connectedness, and whether the directed graphs are spanners.

Cite

@article{arxiv.0905.2249,
  title  = {Some Properties of Yao Y4 Subgraphs},
  author = {Joseph O'Rourke},
  journal= {arXiv preprint arXiv:0905.2249},
  year   = {2009}
}

Comments

7 pages, 6 figures

R2 v1 2026-06-21T13:02:04.701Z