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» Bijective counting of plane bipolar orientations
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ENDM
2007
93views more  ENDM 2007»
13 years 4 months ago
Bijective counting of plane bipolar orientations
Éric Fusy, Dominique Poulalhon, Gilles Scha...
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, ...
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 ...