Geodesic
The height of random binary unlabelled trees
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science (2008).

Voir la notice de l'article provenant de la source Episciences

This extended abstract is dedicated to the analysis of the height of non-plane unlabelled rooted binary trees. The height of such a tree chosen uniformly among those of size $n$ is proved to have a limiting theta distribution, both in a central and local sense. Moderate as well as large deviations estimates are also derived. The proofs rely on the analysis (in the complex plane) of generating functions associated with trees of bounded height. 
@article{DMTCS_2008_special_254_a5,
     author = {Broutin, Nicolas and Flajolet, Philippe},
     title = {The height of random binary unlabelled trees},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science},
     year = {2008},
     doi = {10.46298/dmtcs.3559},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3559/}
}
TY  - JOUR
AU  - Broutin, Nicolas
AU  - Flajolet, Philippe
TI  - The height of random binary unlabelled trees
JO  - Discrete mathematics & theoretical computer science
PY  - 2008
VL  - DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3559/
DO  - 10.46298/dmtcs.3559
LA  - en
ID  - DMTCS_2008_special_254_a5
ER  - 
%0 Journal Article
%A Broutin, Nicolas
%A Flajolet, Philippe
%T The height of random binary unlabelled trees
%J Discrete mathematics & theoretical computer science
%D 2008
%V DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3559/
%R 10.46298/dmtcs.3559
%G en
%F DMTCS_2008_special_254_a5
Broutin, Nicolas; Flajolet, Philippe. The height of random binary unlabelled trees. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science (2008). doi : 10.46298/dmtcs.3559. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3559/

Cité par Sources :