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ISAAC
1992
Springer

Algorithms for Finding Non-Crossing Paths with Minimum Total Length in Plane Graphs

13 years 7 months ago
Algorithms for Finding Non-Crossing Paths with Minimum Total Length in Plane Graphs
Let G be an undirected plane graph with non-negative edge length, and let k terminal pairs lie on two specified face boundaries. This paper presents an algorithm for finding k "non-crossing paths" in G, each connecting a terminal pair, whose total length is minimum. Here "non-crossing paths" may share common vertices or edges but do not cross each other in the plane. The algorithm runs in time O(nlogn) where n is the number of vertices in G.
Jun-ya Takahashi, Hitoshi Suzuki, Takao Nishizeki
Added 10 Aug 2010
Updated 10 Aug 2010
Type Conference
Year 1992
Where ISAAC
Authors Jun-ya Takahashi, Hitoshi Suzuki, Takao Nishizeki
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