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» Separators in Two and Three Dimensions
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STOC
1990
ACM
95views Algorithms» more  STOC 1990»
13 years 9 months ago
Separators in Two and Three Dimensions
a 3-dimensions a separator size where is the ber of 3-simplexes in and is the number of ization of the separator results for planar graphs, such as the and Tarjan planar separator...
Gary L. Miller, William P. Thurston
GD
2005
Springer
13 years 10 months ago
Drawing Clustered Graphs in Three Dimensions
Clustered graph is a very useful model for drawing large and complex networks. This paper presents a new method for drawing clustered graphs in three dimensions. The method uses a ...
Joshua Wing Kei Ho, Seok-Hee Hong
ICRA
1994
IEEE
147views Robotics» more  ICRA 1994»
13 years 9 months ago
Provable Strategies for Vision-Guided Exploration in Three Dimensions
An approach is presented for exploring an unknown, arbitrary surface in three-dimensional (3D) space by a mobile robot. The main contributions are (1) an analysis of the capabilit...
Kiriakos N. Kutulakos, Charles R. Dyer, Vladimir J...
IMR
2003
Springer
13 years 10 months ago
Compact Representations of Simplicial Meshes in Two and Three Dimensions
We describe data structures for representing simplicial meshes compactly while supporting online queries and updates efficiently. Our data structure requires about a factor of fi...
Daniel K. Blandford, Guy E. Blelloch, David E. Car...
FOCS
2006
IEEE
13 years 11 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao