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CAAN
2007
Springer
15 years 10 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 10 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 10 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 10 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 10 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...