Enumeration of Graded (3+1)-Avoiding Posets

Details Enumeration of Graded (3+1)-Avoiding Posets Enumeration of Graded (3+1)-Avoiding Posets

2011-06-27

arxiv.org/abs/1106.5480v1

Mathematics

Combinatorics

32 pages, 9 figures

Scientific paper

The notion of (3+1)-avoidance has shown up in many places in enumerative
combinatorics. The natural goal of enumeration of all (3+1)-avoiding posets
remains open. In this paper, we enumerate graded (3+1)-avoiding posets via
generating functions and an application of the transfer-matrix method.

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