https://hal.inria.fr/hal-01184685Janson, SvanteSvanteJansonDepartment of Mathematics [Uppsala] - Uppsala UniversityConditioned Galton-Watson trees do not growHAL CCSD2006conditioned Galton-Watson treesrandom treesprofile[INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS][INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM][MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]Episciences Iam, CoordinationChassaing, Philippe and others2015-08-17 14:23:062017-05-11 01:03:042015-08-17 15:55:45enConference papershttps://hal.inria.fr/hal-01184685/document10.46298/dmtcs.3483application/pdf1An 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.