Generic rectangulations

Details Generic rectangulations Generic rectangulations

2011-05-16

arxiv.org/abs/1105.3093v3

Mathematics

Combinatorics

Final version to appear in Eur. J. Combinatorics. Since v2, I became aware of literature on generic rectangulations under the

Scientific paper

A rectangulation is a tiling of a rectangle by a finite number of rectangles. The rectangulation is called generic if no four of its rectangles share a single corner. We initiate the enumeration of generic rectangulations up to combinatorial equivalence by establishing an explicit bijection between generic rectangulations and a set of permutations defined by a pattern-avoidance condition analogous to the definition of the twisted Baxter permutations.

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