Generic rectangulations

  • Authors:
  • Nathan Reading

  • Affiliations:
  • -

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2012

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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.