Sciweavers

32 search results - page 5 / 7
» Coverage Diameters of Polygons
Sort
View
AAAI
2007
14 years 12 months ago
Simple Robots with Minimal Sensing: From Local Visibility to Global Geometry
We consider problems of geometric exploration and selfdeployment for simple robots that can only sense the combinatorial (non-metric) features of their surroundings. Even with suc...
Subhash Suri, Elias Vicari, Peter Widmayer
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
15 years 3 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
94
Voted
SODA
1993
ACM
119views Algorithms» more  SODA 1993»
14 years 11 months ago
Iterated Nearest Neighbors and Finding Minimal Polytopes
We introduce a new method for nding several types of optimal k-point sets, minimizing perimeter, diameter, circumradius, and related measures, by testing sets of the O(k) nearest ...
David Eppstein, Jeff Erickson
IJCGA
2000
85views more  IJCGA 2000»
14 years 9 months ago
Obnoxious Facility Location: Complete Service with Minimal Harm
We present e cient algorithms for several instances of the following facility location problem. Facilities and demand sites are represented as points in the plane. Place k obnoxio...
Boaz Ben-Moshe, Matthew J. Katz, Michael Segal
WADS
2005
Springer
162views Algorithms» more  WADS 2005»
15 years 3 months ago
The Minimum-Area Spanning Tree Problem
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spannin...
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell