Properties of triangular partitions and their generalizations

Autors/ores

Paraules clau:

enumerative combinatorics, geometric combinatorics, triangular partitions, balanced words.

Resum

Una partició entera es diu triangular si el seu diagrama de Ferrers es pot separar del seu complement (com a subconjunt de N2) amb una línia recta. Aquest article es basa en alguns desenvolupaments recents sobre el tema per derivar noves propietats enumeratives, geomètriques i algorísmiques d’aquests objectes. La investigació s’estén després a generalitzacions en dimensions superiors, anomenades particions piramidals, i a particions convexes i còncaves, definides com particions amb un diagrama de Ferrers que pot ser separat del seu complement per una corba convexa o còncava.

Descàrregues

Les dades de descàrrega encara no estan disponibles.

Descàrregues

Com citar

Galván, A. B. (2024). Properties of triangular partitions and their generalizations. Reports@SCM, 9(1), 31–40. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/154339

Número

Vol. 9 Núm. 1 (2024)

Secció

Articles

Llicència

The intellectual property of articles belongs to the respective authors.
On submitting articles for publication to the journal Reports@SCM, authors accept the following terms:
  1. Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Reports@SCM.
  2. Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.
  3. Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.
  4. Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.
  5. The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.
  6. The journal Reports@SCM is not responsible for the ideas and opinions expressed by the authors of the published articles.