Two classes of level Eulerian posets

Richard Ehrenborg

doi:10.1016/j.disc.2024.114127

Two classes of level Eulerian posets

Richard Ehrenborg

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We present two classes of level Eulerian posets. Both classes contain intervals of rank k+1 whose cd-index is the sum over all cd-monomials w of degree k and the coefficient of the monomial w is r to the power of the number of d's in w. We also show that the order complexes of every interval in the first class are homeomorphic to spheres.

Original language	English
Article number	114127
Journal	Discrete Mathematics
Volume	347
Issue number	10
DOIs	https://doi.org/10.1016/j.disc.2024.114127
State	Published - Oct 2024

Bibliographical note

Publisher Copyright:
© 2024 Elsevier B.V.

Keywords

Level Eulerian posets
Non-commutative rational series

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Access to Document

10.1016/j.disc.2024.114127

Cite this

@article{b514488e7f234a02bc9314b05a94b4da,

title = "Two classes of level Eulerian posets",

abstract = "We present two classes of level Eulerian posets. Both classes contain intervals of rank k+1 whose cd-index is the sum over all cd-monomials w of degree k and the coefficient of the monomial w is r to the power of the number of d's in w. We also show that the order complexes of every interval in the first class are homeomorphic to spheres.",

keywords = "Level Eulerian posets, Non-commutative rational series",

author = "Richard Ehrenborg",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier B.V.",

year = "2024",

month = oct,

doi = "10.1016/j.disc.2024.114127",

language = "English",

volume = "347",

number = "10",

}

TY - JOUR

T1 - Two classes of level Eulerian posets

AU - Ehrenborg, Richard

PY - 2024/10

Y1 - 2024/10

N2 - We present two classes of level Eulerian posets. Both classes contain intervals of rank k+1 whose cd-index is the sum over all cd-monomials w of degree k and the coefficient of the monomial w is r to the power of the number of d's in w. We also show that the order complexes of every interval in the first class are homeomorphic to spheres.

AB - We present two classes of level Eulerian posets. Both classes contain intervals of rank k+1 whose cd-index is the sum over all cd-monomials w of degree k and the coefficient of the monomial w is r to the power of the number of d's in w. We also show that the order complexes of every interval in the first class are homeomorphic to spheres.

KW - Level Eulerian posets

KW - Non-commutative rational series

UR - http://www.scopus.com/inward/record.url?scp=85195692697&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85195692697&partnerID=8YFLogxK

U2 - 10.1016/j.disc.2024.114127

DO - 10.1016/j.disc.2024.114127

M3 - Article

AN - SCOPUS:85195692697

SN - 0012-365X

VL - 347

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 10

M1 - 114127

ER -

Two classes of level Eulerian posets

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this