arXiv:2401.09723 Abstract | arXiv Analytics

arXiv:2401.09723 [math.CO]Abstract References Reviews Resources

Linear extensions and continued fractions

Published 2024-01-18Version 1

We introduce several new constructions of finite posets with the number of linear extensions given by generalized continued fractions. We apply our results to the problem of the minimum number of elements needed for a poset with a given number of linear extensions.

Comments: 14 pages

Categories: math.CO, math.NT

Subjects: 06A07, 11A55

Keywords: linear extensions, finite posets, minimum number, constructions

Related articles: Most relevant | Search more

arXiv:2008.04997 [math.CO] (Published 2020-08-11)

Automorphism groups of finite posets II

Jonathan A. Barmak

arXiv:1604.08149 [math.CO] (Published 2016-04-27)

Operads of finite posets

Frédéric Fauvet, Loïc Foissy, Dominique Manchon

arXiv:2201.10302 [math.CO] (Published 2022-01-25)