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Random trees in a graph and trees in a random graph

Mathematical Proceedings of the Cambridge Philosophical Society, 1986
This paper treats two related sets of problems in the theory of random graphs. In Sections 2 and 3 we study random spanning subtrees of a complete graph (or, equivalently, random labelled trees). It is shown that the number of common edges of two such random trees asymptotically has a Poisson distribution with expectation 2.
openaire   +2 more sources

Application of Rapidly-exploring Random Trees (RRT) algorithm for trajectory planning of free-floating space manipulator

International Workshop on Robot Motion and Control, 2015
Unmanned manipulator-equipped satellite could perform on-orbit servicing mission or could be used to remove large space debris from orbit. Planning a manipulator trajectory that will lead to a safe capture of a selected grasping point on the target ...
T. Rybus, K. Seweryn
semanticscholar   +1 more source

On random trees

Studia Scientiarum Mathematicarum Hungarica, 2002
In a one-parameter model for evolution of random trees strong law of large numbers and central limit theorem are proved for the number of vertices with low degree. The proof is based on elementary martingale theory.
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On the profile of random trees

Random Structures and Algorithms, 1997
Let T be a plane rooted tree with n nodes which is regarded as family tree of a Galton-Watson branching process conditioned on the total progeny. The profile of the tree may be described by the number of nodes or the number of leaves in layer , respectively. It is shown that these two processes converge weakly to Brownian excursion local time.
Bernhard Gittenberger, Michael Drmota
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Random Trees and Tree Codes

1972
A random tree is a probabilistic system much like a random walk. In a random walk, a particle moves up or down as time progresses in accordance with some stochastic law. A random tree, on the other hand, starts with one particle at time zero, this particle branches into a number of particles, each of which move up or down in accordance with a ...
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Multiparametric prostate magnetic resonance imaging in the evaluation of prostate cancer

Ca-A Cancer Journal for Clinicians, 2016
Baris Turkbey   +2 more
exaly  

Deep neural networks, gradient-boosted trees, random forests: Statistical arbitrage on the S&P 500

European Journal of Operational Research, 2017
C. Krauss, Xuan Anh Do, Nicolas Huck
semanticscholar   +1 more source

Recent advances in fundamentals and applications of random fiber lasers

Advances in Optics and Photonics, 2015
Ilya D Vatnik, Han Wu, Zinan Wang
exaly  

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