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CCCG
2009
13 years 6 months ago
Inapproximability of the Perimeter Defense Problem
We model the problem of detecting intruders using a set of infrared beams by the perimeter defense problem: given a polygon P, find a minimum set of edges S of the polygon such th...
Evangelos Kranakis, Danny Krizanc, Lata Narayanan,...
CCCG
2009
13 years 6 months ago
Nucleation-free 3D rigidity
All known examples of generic 3D bar-and-joint frameworks where the distance between a non-edge pair is implied by the edges in the graph contain a rigid vertexinduced subgraph. I...
Jialong Cheng, Meera Sitharam, Ileana Streinu
CCCG
2009
13 years 6 months ago
On Directed Graphs with an Upward Straight-line
In this paper we study the problem of computing an upward straight-line embedding of a directed graph G into a point set S, i.e. a planar drawing of G such that each vertex is map...
Carla Binucci, Emilio Di Giacomo, Walter Didimo, A...
CCCG
2009
13 years 3 months ago
Streaming 1-Center with Outliers in High Dimensions
We study the 1-center problem with outliers in highdimensional data streams. The problem definition is as follows: given a sequence of n points in d dimensions (with d arbitrarily...
Hamid Zarrabi-Zadeh, Asish Mukhopadhyay
CCCG
2009
13 years 6 months ago
On the Dilation of Delaunay Triangulations of Points in Convex Position
Let S be a finite set of points in the Euclidean plane, and let E be the complete graph whose point-set is S. Chew, in 1986, proved a lower bound of /2 on the stretch factor of th...
Shiliang Cui, Iyad A. Kanj, Ge Xia