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» On the Number of Halving Planes
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GD
2006
Springer
15 years 1 months ago
Computing Geometric Minimum-Dilation Graphs Is NP-Hard
We prove that computing a geometric minimum-dilation graph on a given set of points in the plane, using not more than a given number of edges, is an NP-hard problem, no matter if ...
Rolf Klein, Martin Kutz
COMPGEOM
2008
ACM
14 years 11 months ago
A simple and efficient kinetic spanner
We present a kinetic data structure for maintaining a (1+ )-spanner of size O(n/2 ) for a set of n moving points in the plane. Assuming the trajectories of the points can be descr...
Mohammad Ali Abam, Mark de Berg, Joachim Gudmundss...
FCS
2006
14 years 11 months ago
A Theoretical Study of Parallel Voronoi Diagram
In this paper, we concentrate on the problem of computing a Voronoi diagram using Hypercube model of computation. The main contribution of this work is the O(log3 n) parallel algor...
Rashid Muhammad
DCG
2010
135views more  DCG 2010»
14 years 10 months ago
Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...
ARSCOM
2006
140views more  ARSCOM 2006»
14 years 10 months ago
Expansion Properties Of Levi Graphs
ABSTRACT. The Levi graph of a balanced incomplete block design is the bipartite graph whose vertices are the points and blocks of the design, with each block adjacent to those poin...
Dominic Lanphier, C. Miller, Jason Rosenhouse, A. ...