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» Coverage Diameters of Polygons
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124
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AAAI
2007
15 years 6 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
127
Voted
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
15 years 9 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 ...
146
Voted
SODA
1993
ACM
119views Algorithms» more  SODA 1993»
15 years 5 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
130
Voted
IJCGA
2000
85views more  IJCGA 2000»
15 years 3 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
130
Voted
WADS
2005
Springer
162views Algorithms» more  WADS 2005»
15 years 9 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