Some Properties of Yao Y4 Subgraphs
arXiv:0905.2249
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.
7 pages, 6 figures