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» A Lower Bound for the Shortest Path Problem
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SODA
2007
ACM
131views Algorithms» more  SODA 2007»
14 years 11 months ago
On the K-simple shortest paths problem in weighted directed graphs
We obtain the first approximation algorithm for finding the k-simple shortest paths connecting a pair of vertices in a weighted directed graph. Our algorithm is deterministic an...
Liam Roditty
COMGEO
2007
ACM
14 years 9 months ago
Geometric dilation of closed planar curves: New lower bounds
Given two points on a closed planar curve, C, we can divide the length of a shortest connecting path in C by their Euclidean distance. The supremum of these ratios, taken over all...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
ESA
2004
Springer
145views Algorithms» more  ESA 2004»
15 years 2 months ago
Flows on Few Paths: Algorithms and Lower Bounds
Abstract. Classical network flow theory allows decomposition of flow into several chunks of arbitrary sizes traveling through the network on different paths. In the first part ...
Maren Martens, Martin Skutella
ESA
2006
Springer
139views Algorithms» more  ESA 2006»
15 years 1 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...
CDC
2009
IEEE
151views Control Systems» more  CDC 2009»
15 years 2 months ago
Shortest path optimization under limited information
— The problem of finding an optimal path in an uncertain graph arises in numerous applications, including network routing, path-planning for vehicles, and the control of finite...
Michael Rinehart, Munther A. Dahleh