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COMGEO
2006
ACM
13 years 7 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
COCO
2000
Springer
123views Algorithms» more  COCO 2000»
14 years 2 days ago
A Lower Bound for the Shortest Path Problem
We show that the Shortest Path Problem cannot be solved in o(log n) time on an unbounded fan-in PRAM without bit operations using poly(n) processors even when the bit-lengths of t...
Ketan Mulmuley, Pradyut Shah
ESA
2005
Springer
155views Algorithms» more  ESA 2005»
14 years 1 months ago
Highway Hierarchies Hasten Exact Shortest Path Queries
We present a new speedup technique for route planning that exploits the hierarchy inherent in real world road networks. Our algorithm preprocesses the eight digit number of nodes n...
Peter Sanders, Dominik Schultes
HIPC
2007
Springer
13 years 11 months ago
Accomplishing Approximate FCFS Fairness Without Queues
First Come First Served (FCFS) is a policy that is accepted for implementing fairness in a number of application domains such as scheduling in Operating Systems, scheduling web req...
K. Subramani, Kamesh Madduri
ICRA
2006
IEEE
130views Robotics» more  ICRA 2006»
14 years 1 months ago
Voronoi Diagram and Fast Marching applied to Path Planning
— This paper presents a new Path Planning method which operates in two steps. In the first step the safest areas in the environment are extracted by means of a Voronoi diagram. ...
Santiago Garrido, Luis Moreno, Dolores Blanco