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Physical Sciences and Mathematics Commons

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Geometry and Topology

Smith College

Computer Science: Faculty Publications

Series

2009

Articles 1 - 1 of 1

Full-Text Articles in Physical Sciences and Mathematics

Some Properties Of Yao Y4 Subgraphs, Joseph O'Rourke May 2009

Some Properties Of Yao Y4 Subgraphs, Joseph O'Rourke

Computer Science: Faculty Publications

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.