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SIAMCOMP
1998
114views more  SIAMCOMP 1998»
13 years 7 months ago
Maximum k-Chains in Planar Point Sets: Combinatorial Structure and Algorithms
A chain of a set P of n points in the plane is a chain of the dominance order on P. A k-chain is a subset C of P that can be covered by k chains. A k-chain C is a maximum k-chain ...
Stefan Felsner, Lorenz Wernisch
TASE
2010
IEEE
13 years 2 months 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
WADS
2007
Springer
184views Algorithms» more  WADS 2007»
14 years 1 months ago
A Pseudopolynomial Time O (log n )-Approximation Algorithm for Art Gallery Problems
In this paper, we give a O(log copt)-approximation algorithm for the point guard problem where copt is the optimal number of guards. Our algorithm runs in time polynomial in n, the...
Ajay Deshpande, Taejung Kim, Erik D. Demaine, Sanj...
ISAAC
2004
Springer
100views Algorithms» more  ISAAC 2004»
14 years 25 days ago
Boundary-Optimal Triangulation Flooding
Given a planar triangulation all of whose faces are initially white, we study the problem of colouring the faces black one by one so that the boundary between black and white faces...
Richard J. Nowakowski, Norbert Zeh
ISAAC
2009
Springer
132views Algorithms» more  ISAAC 2009»
14 years 2 months ago
Untangled Monotonic Chains and Adaptive Range Search
Abstract. We present the first adaptive data structure for two-dimensional orthogonal range search. Our data structure is adaptive in the sense that it gives improved search perfo...
Diego Arroyuelo, Francisco Claude, Reza Dorrigiv, ...