# PublicationsManuscripts

## Permutations avoiding patterns of length 3

Yuval Filmus

We provide a bijective proof for the well-known fact that the number of 123-avoiding permutations and the number of 132-avoiding permutations are both counted by Catalan numbers. Simion and Schmidt came up with a direct bijection between the two sets of permutations, and their proof is recommended over mine.