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COMPGEOM
2004
ACM
15 years 11 months ago
Solution of Scott's problem on the number of directions determined by a point set in 3-space
Let P be a set of n points in Ê3 , not all in a common plane. We solve a problem of Scott (1970) by showing that the connecting lines of P assume at least 2n − 7 different dir...
János Pach, Rom Pinchasi, Micha Sharir
CAAN
2004
Springer
15 years 11 months ago
A Survey of Models of the Web Graph
The web graph has been the focus of much recent attention, with several stochastic models proposed to account for its various properties. A survey of these models is presented, foc...
Anthony Bonato
COMPGEOM
2003
ACM
15 years 11 months ago
Long monotone paths in line arrangements
We show how to construct an arrangement of n lines having a monotone path of length Ω(n2−(d/ √ log n)), where d > 0 is some constant, and thus nearly settle the long stan...
József Balogh, Oded Regev, Clifford D. Smyt...
COMPGEOM
2003
ACM
15 years 11 months ago
Euclidean bounded-degree spanning tree ratios
Let τK be the worst-case (supremum) ratio of the weight of the minimum degree-K spanning tree to the weight of the minimum spanning tree, over all finite point sets in the Eu
Timothy M. Chan
DGCI
2003
Springer
15 years 11 months ago
On the Use of Shape Primitives for Reversible Surface Skeletonization
We use a mathematical morphology approach to compute the surface and curve skeletons of a 3D object. We focus on the behaviour of the surface skeleton, in particular the reversibil...
Stina Svensson, Pieter P. Jonker