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» New bijective links on planar maps via orientations
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EJC
2010
13 years 5 months ago
New bijective links on planar maps via orientations
This article presents new bijections on planar maps. At first a bijection is established between bipolar orientations on planar maps and specific "transversal structures"...
Éric Fusy
COMBINATORICS
2004
84views more  COMBINATORICS 2004»
13 years 4 months ago
Planar Maps as Labeled Mobiles
We extend Schaeffer's bijection between rooted quadrangulations and welllabeled trees to the general case of Eulerian planar maps with prescribed face valences to obtain a bi...
J. Bouttier, P. Di Francesco, E. Guitter
JCT
2011
141views more  JCT 2011»
12 years 12 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 ...