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JCT
2011
141views more  JCT 2011»
12 years 11 months ago
Bijections for Baxter families and related objects
The Baxter number Bn can be written as Bn = n k=0 Θk,n−k−1 with Θk,ℓ = 2 (k + 1)2 (k + 2) k + ℓ k k + ℓ + 1 k k + ℓ + 2 k . These numbers have first appeared in the...
Stefan Felsner, Éric Fusy, Marc Noy, David ...
DAM
2006
120views more  DAM 2006»
13 years 4 months ago
A bijection between permutations and floorplans, and its applications
A floorplan represents the relative relations between modules on an integrated circuit. Floorplans are commonly classified as slicing, mosaic, or general. Separable and Baxter per...
Eyal Ackerman, Gill Barequet, Ron Y. Pinter
ENDM
2008
75views more  ENDM 2008»
13 years 4 months ago
Baxter permutations and plane bipolar orientations
We present a simple bijection between Baxter permutations of size n and plane bipolar orientations with n edges. This bijection translates several classical parameters of permutati...
Nicolas Bonichon, Mireille Bousquet-Mélou, ...