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COMPGEOM
2004
ACM
15 years 3 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 3 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 3 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 3 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 3 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