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arXiv · 1602.05481

Improved Bounds on the Stretch Factor of $Y_4$

Mirela Damian·Naresh Nelavalli
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Abstract

We establish an upper bound of 4.94 on the stretch factor of the Yao graph $Y_4^\infty$ defined in the $L_\infty$-metric, improving upon the best previously known upper bound of 6.31. We also establish an upper bound of 54.62 on the stretch factor of the Yao graph $Y_4$ defined in the Euclidean metric, improving upon the best previously known upper bound of 662.16.

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Mirela Damian, Naresh Nelavalli. 2016-02-17. Improved Bounds on the Stretch Factor of $Y_4$. https://arxiv.org/abs/1602.05481

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