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A Simple Bijection Between 312-avoiding Permutations and Triangulations

Beata Bényi1, Eétvés Jézsef Fdiskola2
1Bolyai Institute, University of Szeged Vértanuk tere 1., Szeged, Hungary 6720.
2Bajesy-Zsilinszky u. 14., Baja, Hungary 6500.

Abstract

We present a simple bijection between the set of triangulations of a convex polygon and the set of \(312\)-avoiding permutations.

Keywords: pattern-avoidance, bijection.