Geodesic
On the weighted Euclidean matching problem in ${\Bbb R}^d$
Birgit Anthes 1   ; Ludger Rüschendorf 1
1 Institut für Mathematische Stochastik Universität Freiburg Eckerstr. 1 79104 Freiburg, Germany
Applicationes Mathematicae, Tome 28 (2001) no. 2, pp. 181-190 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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A partitioning algorithm for the Euclidean matching problem in ${\Bbb R}^d$ is introduced and analyzed in a probabilistic model. The algorithm uses elements from the fixed dissection algorithm of Karp and Steele (1985) and the Zig-Zag algorithm of Halton and Terada (1982) for the traveling salesman problem. The algorithm runs in expected time $n(\log n)^{p-1}$ and approximates the optimal matching in the probabilistic sense.
DOI : 10.4064/am28-2-5
Keywords: partitioning algorithm euclidean matching problem bbb introduced analyzed probabilistic model algorithm uses elements fixed dissection algorithm karp steele zig zag algorithm halton terada traveling salesman problem algorithm runs expected time log p approximates optimal matching probabilistic sense

Birgit Anthes  1   ; Ludger Rüschendorf  1

1 Institut für Mathematische Stochastik Universität Freiburg Eckerstr. 1 79104 Freiburg, Germany 
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     title = {On the weighted {Euclidean
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Birgit Anthes; Ludger Rüschendorf. On the weighted Euclidean
matching problem in ${\Bbb R}^d$. Applicationes Mathematicae, Tome 28 (2001) no. 2, pp. 181-190. doi: 10.4064/am28-2-5

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