A direct proof of the Stanley-Wilf-conjecture for permutations on multisets

Details A direct proof of the Stanley-Wilf-conjecture for permutations on multisets A direct proof of the Stanley-Wilf-conjecture for permutations on multisets

2011-08-16

arxiv.org/abs/1108.3249v2

Mathematics

Combinatorics

8 pages, 2 figures

Scientific paper

The concept of pattern avoidance respectively containment in permutations can be extended to permutations on multisets in a straightforward way. In this note we present a direct proof of the already known fact that the well-known Stanley-Wilf Conjecture, stating that the number of permutations avoiding a given pattern does not grow faster than exponentially, also holds for permutations on multisets.

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