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Some Properties of Yao Y4 Subgraphs

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Preprint
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arXiv ID: 0905.2249
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arXiv
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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.

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