Catalan-like numbers and succession rules
| dc.creator | Ferrari, Luca | |
| dc.creator | Pinzani, Renzo | |
| dc.date | 2005-07-11 | |
| dc.date.accessioned | 2026-07-07T05:21:35Z | |
| dc.date.available | 2026-07-07T05:21:35Z | |
| dc.description | The ECO method and the theory of Catalan-like numbers introduced by Aigner seems two completely unrelated combinatorial settings. In this work we try to establish a bridge between them, aiming at starting a (hopefully) fruitful study on their interactions. We show that, in a linear algebra context (more precisely, using infinite matrices), a succession rule can be translated into a (generalized) Aigner matrix by means of a suitable change of basis in the vector space of one-variable polynomials. We provide some examples to illustrate this fact and apply it to the study of two particular classes of succession rules. | |
| dc.description | Submitted. The paper has been presented at the conference "Paths, Permutations and Trees", held in Tianjin, 2004, February, 25-27 | |
| dc.identifier | https://arxiv.org/abs/math/0507210 | |
| dc.identifier | http://arxiv.org/abs/math/0507210 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75744 | |
| dc.subject | Combinatorics | |
| dc.subject | 05A10; 15A36 | |
| dc.title | Catalan-like numbers and succession rules | |
| dc.type | text |