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CAAN
2007
Springer
15 years 1 months ago
Improving the Efficiency of Helsgaun's Lin-Kernighan Heuristic for the Symmetric TSP
Abstract. Helsgaun has introduced and implemented the lower tolerances (-values) for an approximation of Held-Karp's 1-tree with the purpose to improve the Lin-Kernighan Heuri...
Dirk Richter, Boris Goldengorin, Gerold Jäger...
COMPGEOM
2007
ACM
15 years 1 months ago
Embeddings of surfaces, curves, and moving points in euclidean space
In this paper we show that dimensionality reduction (i.e., Johnson-Lindenstrauss lemma) preserves not only the distances between static points, but also between moving points, and...
Pankaj K. Agarwal, Sariel Har-Peled, Hai Yu
COMPGEOM
2007
ACM
15 years 1 months ago
A space-optimal data-stream algorithm for coresets in the plane
Given a point set P R2 , a subset Q P is an -kernel of P if for every slab W containing Q, the (1+)-expansion of W also contains P. We present a data-stream algorithm for mainta...
Pankaj K. Agarwal, Hai Yu
COMPGEOM
2007
ACM
15 years 1 months ago
Bi-criteria linear-time approximations for generalized k-mean/median/center
We consider the problem of approximating a set P of n points in Rd by a collection of j-dimensional flats, and extensions thereof, under the standard median / mean / center measur...
Dan Feldman, Amos Fiat, Micha Sharir, Danny Segev
COMPGEOM
2007
ACM
15 years 1 months ago
Embedding 3-polytopes on a small grid
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
Ares Ribó Mor, Günter Rote, Andr&eacut...