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COMPGEOM
2004
ACM
15 years 5 months ago
On distinct distances from a vertex of a convex polygon
Given a set P of n points in convex position in the plane, we prove that there exists a point p ∈ P such that the number of distinct distances from p is at least (13n−6)/36 . ...
Adrian Dumitrescu
SIGACT
2008
103views more  SIGACT 2008»
14 years 11 months ago
Computational geometry column 50
Two long-open problems have been solved: (1) every sufficiently large planar point set in general position contains the vertices of an empty hexagon; (2) every finite collection o...
Joseph O'Rourke
ICASSP
2010
IEEE
14 years 12 months ago
Alpha-integration of multiple evidence
In pattern recognition, data integration is a processing method to combine multiple sources so that the combined result can be more accurate than a single source. Evidence theory ...
Heeyoul Choi, Anup Katake, Seungjin Choi, Yoonsuck...
CDC
2008
IEEE
184views Control Systems» more  CDC 2008»
15 years 6 months ago
Almost sure convergence to consensus in Markovian random graphs
— In this paper we discuss the consensus problem for a network of dynamic agents with undirected information flow and random switching topologies. The switching is determined by...
Ion Matei, Nuno C. Martins, John S. Baras
CSR
2007
Springer
15 years 3 months ago
On Empirical Meaning of Randomness with Respect to a Real Parameter
We study the empirical meaning of randomness with respect to a family of probability distributions P, where is a real parameter, using algorithmic randomness theory. In the case w...
Vladimir V. V'yugin