Patterns in treeshelves

Abstract : We study the distribution and the popularity of left children on sets of treeshelves avoiding a pattern of size three. (Treeshelves are ordered binary increasing trees where every child is connected to its parent by a left or a right link.) The considered patterns are sub-treeshelves, and for each such a pattern we provide exponential generating function for the corresponding distribution and popularity. Finally, we present constructive bijections between treeshelves avoiding a pattern of size three and some classes of simpler combinatorial objects.
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01588383
Contributeur : Le2i - Université de Bourgogne <>
Soumis le : vendredi 15 septembre 2017 - 15:45:56
Dernière modification le : jeudi 11 janvier 2018 - 06:28:16

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Jean-Luc Baril, Sergey Kirgizov, Vincent Vajnovszki. Patterns in treeshelves. Discrete Mathematics, Elsevier, 2017, 340 (12), pp.2946 - 2954. 〈http://www.sciencedirect.com/science/article/pii/S0012365X17302388?via%3Dihub〉. 〈10.1016/j.disc.2017.07.021〉. 〈hal-01588383〉

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