Enumeration of Graded (3 + 1)-Avoiding Posets

Autor: Joel Lewis Brewster, Yan X Zhang
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AR,..., Iss Proceedings (2012)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.3019
Popis: The notion of (3+1)-avoidance appears in many places in enumerative combinatorics, but the natural goal of enumerating all (3+1)-avoiding posets remains open. In this paper, we enumerate \emphgraded (3+1)-avoiding posets. Our proof consists of a number of structural theorems followed by some generating function magic.
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