Two classes of level Eulerian posets

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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 languageEnglish
Article number114127
JournalDiscrete Mathematics
Issue number10
StatePublished - Oct 2024

Bibliographical note

Publisher Copyright:
© 2024 Elsevier B.V.


  • Level Eulerian posets
  • Non-commutative rational series

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics


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