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146
Voted
CATS
2007
15 years 6 months ago
Computing a Minimum-Dilation Spanning Tree is NP-hard
Given a set S of n points in the plane, a minimumdilation spanning tree of S is a tree with vertex set S of smallest possible dilation. We show that given a set S of n points and ...
Otfried Cheong, Herman J. Haverkort, Mira Lee
133
Voted
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
15 years 10 months ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
123
Voted
ISAAC
2007
Springer
93views Algorithms» more  ISAAC 2007»
15 years 11 months ago
Dilation-Optimal Edge Deletion in Polygonal Cycles
Abstract. Let C be a polygonal cycle on n vertices in the plane. A randomized algorithm is presented which computes in O(n log3 n) expected time, the edge of C whose removal result...
Hee-Kap Ahn, Mohammad Farshi, Christian Knauer, Mi...