On Three Different Notions of Monotone Subsequences

Details On Three Different Notions of Monotone Subsequences On Three Different Notions of Monotone Subsequences

2007-11-27

arxiv.org/abs/0711.4325v1

Mathematics

Combinatorics

25 pages, 1 figure

Scientific paper

We review how the monotone pattern compares to other patterns in terms of
enumerative results on pattern avoiding permutations. We consider three natural
definitions of pattern avoidance, give an overview of classic and recent
formulas, and provide some new results related to limiting distributions.

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