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COMPGEOM
2010
ACM
14 years 19 days ago
Improving the first selection lemma in R3
We present new bounds on the first selection lemma in R3 . This makes progress on the open problems of Bukh, Matoušek and Nivash [6] and Boros-Füredi [4] for the three-dimensio...
Abdul Basit, Nabil H. Mustafa, Saurabh Ray, Sarfra...
CORR
2011
Springer
191views Education» more  CORR 2011»
13 years 2 months ago
On Approximating Four Covering and Packing Problems
In this paper, we consider approximability issues of the following four problems: triangle packing, full sibling reconstruction, maximum profit coverage and 2-coverage. All of th...
Mary V. Ashley, Tanya Y. Berger-Wolf, Piotr Berman...
COMPGEOM
2006
ACM
13 years 9 months ago
On the ICP algorithm
We present upper and lower bounds for the number of iterations performed by the Iterative Closest Point (ICP) algorithm. This algorithm has been proposed by Besl and McKay [4] as ...
Esther Ezra, Micha Sharir, Alon Efrat
LATIN
2010
Springer
14 years 2 months ago
Optimal Polygonal Representation of Planar Graphs
In this paper, we consider the problem of representing graphs by polygons whose sides touch. We show that at least six sides per polygon are necessary by constructing a class of pl...
Emden R. Gansner, Yifan Hu, Michael Kaufmann, Step...
COR
2011
13 years 2 months ago
Online scheduling of weighted equal-length jobs with hard deadlines on parallel machines
We consider the problem of scheduling a maximum profit selection of equal length jobs on m identical machines. Jobs arrive online over time and the goal is to determine a non-pre...
Sven Oliver Krumke, Alfred Taudes, Stephan Westpha...