Bérénice Delcroix-Oger - Semi-pointed partition posets

dmtcs:2532 - Discrete Mathematics & Theoretical Computer Science, January 1, 2015, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) - https://doi.org/10.46298/dmtcs.2532
Semi-pointed partition posetsArticle

Authors: Bérénice Delcroix-Oger ORCID1

  • 1 Algèbre, géométrie, logique

We present here a family of posets which generalizes both partition and pointed partition posets. After a short description of these new posets, we show that they are Cohen-Macaulay, compute their Moebius numbers and their characteristic polynomials. The characteristic polynomials are obtained using a combinatorial interpretation of the incidence Hopf algebra associated to these posets.


Volume: DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Section: Proceedings
Published on: January 1, 2015
Imported on: November 21, 2016
Keywords: Partition,Incidence Hopf Algebra,Moebius number,characteristic polynomial,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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