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...
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...
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...
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...
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 ...