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ICRA
2002
IEEE
98views Robotics» more  ICRA 2002»
14 years 12 days ago
Sensor-Based Exploration for Convex Bodies: A New Roadmap for a Convex-Shaped Robot
We present a new algorithm that enables a convex shaped robot to explore an unknown planar workspace, i.e., an unknown configuration space diffeomorphic to SE(2). This new algor...
Ji Yeong Lee, Howie Choset
IPSN
2005
Springer
14 years 29 days ago
Coverage and hole-detection in sensor networks via homology
We consider coverage problems in sensor networks of stationary nodes with minimal geometric data. In particular, there are no coordinates and no localization of nodes. We introduc...
Robert Ghrist, Abubakr Muhammad
CCCG
2009
13 years 8 months ago
Approximating Maximum Flow in Polygonal Domains using Spanners
We study a maximum flow problem in a polygonal domain P: Determine the maximum number of disjoint "thick" paths (of specified width w) through P from a source edge to a ...
Joondong Kim, Joseph S. B. Mitchell, Jingyu Zou
DAM
2008
88views more  DAM 2008»
13 years 7 months ago
On the asymmetric representatives formulation for the vertex coloring problem
We consider the vertex coloring problem, which may be stated as the problem of minimizing the number of labels that can be assigned to the vertices of a graph G such that each ver...
Manoel B. Campêlo, Victor A. Campos, Ricardo...
FOCS
2003
IEEE
14 years 23 days ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis