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» Bijective counting of plane bipolar orientations
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ENDM
2007
93views more  ENDM 2007»
14 years 10 months ago
Bijective counting of plane bipolar orientations
Éric Fusy, Dominique Poulalhon, Gilles Scha...
ENDM
2008
75views more  ENDM 2008»
14 years 10 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»
14 years 5 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 ...