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arXiv · 1001.2913

Pi/2-Angle Yao Graphs are Spanners

Prosenjit Bose·Mirela Damian·Karim Douieb·Joseph O'Rourke·Ben Seamone·Michiel Smid·Stefanie Wuhrer
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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.

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Prosenjit Bose, Mirela Damian, Karim Douieb, Joseph O'Rourke, Ben Seamone, Michiel Smid, Stefanie Wuhrer. 2010-01-17. Pi/2-Angle Yao Graphs are Spanners. https://doi.org/10.1142/s0218195912600047

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