Journal of Combinatorics, Information & System Sciences : (A Quarterly International Scientific Journal)
Published in Association with Forum for Interdisciplinary Mathematics
Current Volume: 47 (2022 )
ISSN: 0250-9628
e-ISSN: 0976-3473
Periodicity: Quarterly
Month(s) of Publication: March, June, September & December
Subject: Mathematics
DOI: 10.32381/JCISS
Online Access is free for all life members of JCISS.
Some Enumerative Properties of a Class of Fibonacci-like Cubes
By : Haiyuan Yao, Xuxu Zhao, Xu Wang
Page No: 191-209
Abstract
A filter lattice is a distributive lattice formed by all filters of a poset in the antiinclusion 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.
Authors :
Xuxu Zhao, Xu Wang & Haiyuan Yao : College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu 730070, PR China
DOI: https://doi.org/10.32381/JCISS.2018.43.1-4.15