Affordable Access

Generic rectangulations

Authors
  • Reading, Nathan
Type
Preprint
Publication Date
Jan 05, 2012
Submission Date
May 16, 2011
Source
arXiv
License
Yellow
External links

Abstract

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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