Some Enumerative Properties of a Class of Fibonacci-like Cubes

Autor:	Xuxu Zhao, Xu Wang, Haiyuan Yao
Rok vydání:	2018
Předmět:	Combinatorics Class (set theory) Mathematics::Combinatorics 11B39 05C70 06D05 06A07 Fibonacci number FOS: Mathematics Mathematics - Combinatorics Combinatorics (math.CO) Mathematics
Zdroj:	JOURNAL OF COMBINATORICS, INFORMATION & SYSTEM SCIENCES. 43:191-209
ISSN:	0976-3473 0250-9628
Popis:	A filter lattice is a distributive lattice formed by all filters of a poset in the anti-inclusion order. We study the combinatorial properties of the Hasse diagrams of filter lattices of certain posets, so called Fibonacci-like cubes, in this paper. Several enumerative polynomials, e.g.\ rank generating function, cube polynomials and degree sequence polynomials are obtained. Some of these results relate to Fibonacci sequence and Padovan sequence. 13 pages, 5 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec56954bf6c0f13890d890bb021f6514 https://doi.org/10.32381/jciss.2018.43.1-4.15 Zobrazit plný text záznamu Plný text ve formátu PDF