New equivalences for pattern avoiding involutions

Details New equivalences for pattern avoiding involutions New equivalences for pattern avoiding involutions

2007-08-10

arxiv.org/abs/0708.1357v3

Mathematics

Combinatorics

11 pages, 2 Tables

Scientific paper

We complete the Wilf classification of signed patterns of length 5 for both signed permutations and signed involutions. New general equivalences of patterns are given which prove Jaggard's conjectures concerning involutions in the symmetric group avoiding certain patterns of length 5 and 6. In this way, we also complete the Wilf classification of S_5, S_6, and S_7 for both permutations and involutions.

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