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- W2964103353 abstract "Rectangulations are partitions of a square into axis-aligned rectangles. Anumber of results provide bijections between combinatorial equivalence classesof rectangulations and families of pattern-avoiding permutations. Other resultsdeal with local changes involving a single edge of a rectangulation, referredto as flips, edge rotations, or edge pivoting. Such operations induce a graphon equivalence classes of rectangulations, related to so-called flip graphs ontriangulations and other families of geometric partitions. In this note, weconsider a family of flip operations on the equivalence classes of diagonalrectangulations, and their interpretation as transpositions in the associatedBaxter permutations, avoiding the vincular patterns { 3{14}2, 2{41}3 }. Thiscomplements results from Law and Reading (JCTA, 2012) and provides a completecharacterization of flip operations on diagonal rectangulations, in bothgeometric and combinatorial terms." @default.
- W2964103353 created "2019-07-30" @default.
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- W2964103353 date "2018-11-09" @default.
- W2964103353 modified "2023-09-27" @default.
- W2964103353 title "A Note on Flips in Diagonal Rectangulations" @default.
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