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IMA
2001
Springer
80views Cryptology» more  IMA 2001»
15 years 4 months ago
Spectrally Bounded Sequences, Codes, and States: Graph Constructions and Entanglement
A recursive construction is provided for sequence sets which possess good Hamming Distance and low Peak-to-Average Power Ratio (PAR) under any Local Unitary Unimodular Transform. W...
Matthew G. Parker
IPPS
1999
IEEE
15 years 4 months ago
Sparse Hypercube: A Minimal k-Line Broadcast Graph
This paper proposes a method for reducing the maximum degree of vertices in graphs that maintain optimal broadcast time when a vertex can call a vertex at distance at most k durin...
Satoshi Fujita, Arthur M. Farley
IJRR
2000
94views more  IJRR 2000»
14 years 11 months ago
Sensor-Based Exploration: Incremental Construction of the Hierarchical Generalized Voronoi Graph
This paper prescribes an incremental procedure to construct roadmaps of unknown environments. Recall that a roadmap is a geometric structure that a robot uses to plan a path betwe...
Howie Choset, Sean Walker, Kunnayut Eiamsa-Ard, Jo...
CDC
2010
IEEE
114views Control Systems» more  CDC 2010»
14 years 6 months ago
Sufficient conditions for flocking via graph robustness analysis
In this paper, we consider a multi-agent system consisting of mobile agents with second-order dynamics. The communication network is determined by a standard interaction rule based...
Samuel Martin, Antoine Girard
CORR
2008
Springer
147views Education» more  CORR 2008»
14 years 12 months ago
C-K-R Partitions of Sparse Graphs
We present fast algorithms for constructing probabilistic embeddings and approximate distance oracles in sparse graphs. The main ingredient is a fast algorithm for sampling the pr...
Manor Mendel, Chaya Schwob