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CORR
2010
Springer
100views Education» more  CORR 2010»
13 years 4 months ago
Shortest paths between shortest paths and independent sets
We study problems of reconguration of shortest paths in graphs. We prove that the shortest reconguration sequence can be exponential in the size of the graph and that it is NP-hard...
Marcin Kaminski, Paul Medvedev, Martin Milanic
ICCSA
2007
Springer
13 years 10 months ago
Shortest Path Queries Between Geometric Objects on Surfaces
Abstract. We consider geometric shortest path queries between arbitrary pairs of objects on a connected polyhedral surface P of genus g. The query objects are points, vertices, edg...
Hua Guo, Anil Maheshwari, Doron Nussbaum, Jör...
COMPGEOM
2004
ACM
13 years 10 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
COMGEO
2006
ACM
13 years 4 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
SLS
2009
Springer
250views Algorithms» more  SLS 2009»
13 years 11 months ago
Running Time Analysis of ACO Systems for Shortest Path Problems
Ant Colony Optimization (ACO) is inspired by the ability of ant colonies to find shortest paths between their nest and a food source. We analyze the running time of different ACO...
Christian Horoba, Dirk Sudholt