Lewis Brewster, Joel and Zhang, Yan X - Enumeration of Graded (3 + 1)-Avoiding Posets

dmtcs:3019 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Enumeration of Graded (3 + 1)-Avoiding Posets

Authors: Lewis Brewster, Joel and Zhang, Yan X

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.


Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Submitted on: January 31, 2017
Keywords: posets, (3 + 1)-avoiding, generating functions,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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