Asymptotics of the average height of 2--watermelons with a wall
| dc.creator | Fulmek, Markus | |
| dc.date | 2006-07-06 | |
| dc.date | 2006-09-04 | |
| dc.date.accessioned | 2026-07-07T07:18:06Z | |
| dc.date.available | 2026-07-07T07:18:06Z | |
| dc.description | We generalize the classical work of de Bruijn, Knuth and Rice (giving the asymptotics of the average height of Dyck paths of length $n$) to the case of $p$--watermelons with a wall (i.e., to a certain family of $p$ nonintersecting Dyck paths; simple Dyck paths being the special case $p=1$.) We work out this asymptotics for the case $p=2$ only, since the computations involved are already quite complicated (but might be of some interest in their own right). | |
| dc.description | Minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0607163 | |
| dc.identifier | http://arxiv.org/abs/math/0607163 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114182 | |
| dc.subject | Combinatorics | |
| dc.subject | 05A16 | |
| dc.title | Asymptotics of the average height of 2--watermelons with a wall | |
| dc.type | text |