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cs.CG2008★ 3 cited
On the Stretch Factor of Convex Delaunay Graphs
Prosenjit Bose, Paz Carmi, Sebastien Collette +1
Let C be a compact and convex set in the plane that contains the origin in its interior, and let S be a finite set of points in the plane. The Delaunay graph DG_C(S) of S is define…
cs.CG2008★ 3 cited
Cauchy's Arm Lemma on a Growing Sphere
Zachary Abel, David Charlton, Sebastien Collette +6
We propose a variant of Cauchy's Lemma, proving that when a convex chain on one sphere is redrawn (with the same lengths and angles) on a larger sphere, the distance between its en…