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JDA
2006
98views more  JDA 2006»
13 years 7 months ago
Completely connected clustered graphs
Abstract. Planar drawings of clustered graphs are considered. We introduce the notion of completely connected clustered graphs, i.e. hierarchically clustered graphs that have the p...
Sabine Cornelsen, Dorothea Wagner
ALT
2007
Springer
14 years 4 months ago
Learning and Verifying Graphs Using Queries with a Focus on Edge Counting
We consider the problem of learning and verifying hidden graphs and their properties given query access to the graphs. We analyze various queries (edge detection, edge counting, sh...
Lev Reyzin, Nikhil Srivastava
IROS
2006
IEEE
113views Robotics» more  IROS 2006»
14 years 1 months ago
A Framework for Automatic Deployment of Robots in 2D and 3D Environments
Abstract— We present a computational framework for automatic deployment of robots in 2D and 3D rectangular environments with polytopal obstacles. The results are derived for poly...
Marius Kloetzer, Calin Belta
GFKL
2005
Springer
95views Data Mining» more  GFKL 2005»
14 years 1 months ago
An Indicator for the Number of Clusters: Using a Linear Map to Simplex Structure
Abstract. The problem of clustering data can be formulated as a graph partitioning problem. In this setting, spectral methods for obtaining optimal solutions have received a lot of...
Marcus Weber, Wasinee Rungsarityotin, Alexander Sc...
DM
2007
103views more  DM 2007»
13 years 7 months ago
Codes from the line graphs of complete multipartite graphs and PD-sets
The binary codes of the line graphs Lm(n) of the complete multipartite graphs Kn1,...,nm (ni = n for 1 ≤ i ≤ m) n ≥ 2, m ≥ 3 are examined, and PD-sets and s-PD-sets are fo...
Jennifer D. Key, P. Seneviratne