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CCCG
2003
13 years 6 months ago
Shortest Paths in Two Intersecting Pencils of Lines
Suppose one has a line arrangement and one wants to find a shortest path from one point lying on a line of the arrangement to another such point. We look at a special case: the a...
David Hart
AAIM
2009
Springer
119views Algorithms» more  AAIM 2009»
13 years 11 months ago
Link Distance and Shortest Path Problems in the Plane
We develop algorithms to compute Voronoi diagrams, shortest path maps, and the Fr´echet distance in the plane with polygonal obstacles. Distances between points are measured eithe...
Atlas F. Cook, Carola Wenk
ESA
2006
Springer
139views Algorithms» more  ESA 2006»
13 years 8 months ago
Stochastic Shortest Paths Via Quasi-convex Maximization
Abstract. We consider the problem of finding shortest paths in a graph with independent randomly distributed edge lengths. Our goal is to maximize the probability that the path len...
Evdokia Nikolova, Jonathan A. Kelner, Matthew Bran...
FCT
1995
Springer
13 years 8 months ago
Fast Algorithms for Maintaining Shortest Paths in Outerplanar and Planar Digraphs
Abstract. We present algorithms for maintaining shortest path information in dynamic outerplanar digraphs with sublogarithmic query time. By choosing appropriate parameters we achi...
Hristo Djidjev, Grammati E. Pantziou, Christos D. ...
WADS
2007
Springer
145views Algorithms» more  WADS 2007»
13 years 11 months ago
Approximate Shortest Paths Guided by a Small Index
Distance oracles and graph spanners are excerpts of a graph that allow to compute approximate shortest paths. Here, we consider the situation where it is possible to access the ori...
Jörg Derungs, Riko Jacob, Peter Widmayer