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TASE
2010
IEEE
13 years 12 hour ago
Coverage of a Planar Point Set With Multiple Robots Subject to Geometric Constraints
This paper focuses on the assignment of discrete points among K robots and determining the order in which the points should be processed by the robots, in the presence of geometric...
Nilanjan Chakraborty, Srinivas Akella, John T. Wen
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
13 years 10 months ago
On Shortest Disjoint Paths in Planar Graphs
For a graph G and a collection of vertex pairs {(s1, t1), . . . , (sk, tk)}, the k disjoint paths problem is to find k vertex-disjoint paths P1, . . . , Pk, where Pi is a path fr...
Yusuke Kobayashi, Christian Sommer 0002
CCCG
2008
13 years 6 months ago
Exact Pareto-Optimal Coordination of Two Translating Polygonal Robots on a Cyclic Roadmap
We consider planning optimal collision-free motions of two polygonal robots under translation. Each robot has a reference point that must lie on a given graph, called a roadmap, w...
Hamid Reza Chitsaz, Steven M. LaValle, Jason M. O'...
ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
13 years 5 months ago
Improved Algorithms for Constructing Fault-Tolerant Spanners
Let S be a set of n points in a metric space, and k a positive integer. Algorithms are given that construct k-fault-tolerant spanners for S. If in such a spanner at most k vertice...
Christos Levcopoulos, Giri Narasimhan, Michiel H. ...
TAMC
2009
Springer
13 years 11 months ago
Approximation and Hardness Results for Label Cut and Related Problems
We investigate a natural combinatorial optimization problem called the Label Cut problem. Given an input graph G with a source s and a sink t, the edges of G are classified into ...
Peng Zhang, Jin-yi Cai, Linqing Tang, Wenbo Zhao