Svante Janson
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Conditioned Galton-Watson trees do not grow
dmtcs:3483 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2006,
DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities
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https://doi.org/10.46298/dmtcs.3483
Conditioned Galton-Watson trees do not growArticle
Authors: Svante Janson 1
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Svante Janson
1 Department of Mathematics [Uppsala]
An example is given which shows that, in general, conditioned Galton-Watson trees cannot be obtained by adding vertices one by one, while this can be done in some important but special cases, as shown by Luczak and Winkler.
Louigi Addario-Berry;Luc Devroye;Svante Janson, 2013, Sub-Gaussian tail bounds for the width and height of conditioned Galton–Watson trees, The Annals of Probability, 41, 2, 10.1214/12-aop758, https://doi.org/10.1214/12-aop758.