Year: 2026
Type: article
Abstract: We introduce the notion of cyclic posets and Eulerian cyclic posets.The generalized Dehn-Sommerville relations and the cd-index extend to this setting allowing us to define the cyclic cd-index.We show that a level Eulerian poset where the associated matrix is primitive and has trace 2 yields Eulerian cyclic posets.For two classes of level Eulerian posets we compute the cyclic cd-indices.
Author: Richard Ehrenborg
Institution: University of Kentucky
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7223363157