|
| | | | |
| | | |
| Stat |
Members: 3669
Articles: 2'599'751
Articles rated: 2609
22 March 2025 |
|
| | | | |
|
Article overview
| |
|
|
Full asymptotic expansion for Polya structures | | Antoine Genitrini
; | | Date: |
3 May 2016 | | Abstract: | In order to obtain the full asymptotic expansion for Polya trees, i.e. rooted
unlabelled and non-plane trees, Flajolet and Sedgewick observed that their
specification could be seen as a slight disturbance of the functional equation
satisfied by the Cayley tree function. Such an approach highlights the
complicated formal expressions with some combinatorial explanation. They
initiated this process in their book but they spared the technical part by only
exhibiting the first- order approximation. In this paper we exhibit the
university of the method and obtain the full asymptotic expansions for several
varieties of trees. We then focus on three different varieties of rooted,
unlabelled and non-plane trees, Polya trees, rooted identity trees and
hierarchies, in order to calculate explicitly their full singular expansions
and asymptotic expansions. | | Source: | arXiv, 1605.0837 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER