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The Stretch Factor of Planar Delaunay Triangulations Is Less Than 1.65

Mo, Guanlin et al.
arXiv (All) · Papers
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computational-geometry
Delaunay triangulations are a fundamental class of plane spanners, and determining their worst-case stretch factor has been a longstanding problem in computational geometry. We prove an upper bound of \(1.65\), improving the bound of \(1.998\) due to Xia (2011) and reducing the gap to the known lowe
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