Two classes of level Eulerian posets

Richard Ehrenborg

doi:10.1016/j.disc.2024.114127

Two classes of level Eulerian posets

Richard Ehrenborg

Mathematics

Producción científica: Article › revisión exhaustiva

Resumen

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.

Idioma original	English
Número de artículo	114127
Publicación	Discrete Mathematics
Volumen	347
N.º	10
DOI	https://doi.org/10.1016/j.disc.2024.114127
Estado	Published - oct 2024

Nota bibliográfica

Publisher Copyright:
© 2024 Elsevier B.V.

Financiación

The author thanks Margaret Readdy and the two referees for their comments on an earlier draft of this paper. This work was partially supported by a grant from the Simons Foundation (#854548 to Richard Ehrenborg). The author thank Margaret Readdy and the two referees for their comments on an earlier draft of this paper. This work was partially supported by grants from the Simons Foundation (#854548 to Richard Ehrenborg).

Financiadores	Número del financiador
Margaret Readdy
Simons Foundation	854548

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/j.disc.2024.114127

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Two classes of level Eulerian posets

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