Geodesic
A New Family of Bijections for Planar Maps
Séminaire lotharingien de combinatoire, 80B (2018)
Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website

Voir la notice de l'acte

We present bijections for the planar cases of two formulas on maps that arise from the KP hierarchy (Goulden-Jackson and Carrell-Chapuy formulas), relying on a "cut-and-slide" operation. This is the first time a bijective proof is given for quadratic map-counting formulas derived from the KP hierarchy. Up to now, only the linear one-faced case was known (Harer-Zagier recurrence and Chapuy-Féray-Fusy bijection). As far as we know, this bijection is new and not equivalent to any of the well-known bijections between planar maps and tree-like objects. 

@article{SLC_2018_80B_a32,
     author = {Baptiste Louf},
     title = {A {New} {Family} of {Bijections} for {Planar} {Maps}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2018},
     volume = {80B},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a32/}
}
TY  - JOUR
AU  - Baptiste Louf
TI  - A New Family of Bijections for Planar Maps
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a32/
ID  - SLC_2018_80B_a32
ER  - 
%0 Journal Article
%A Baptiste Louf
%T A New Family of Bijections for Planar Maps
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a32/
%F SLC_2018_80B_a32
Baptiste Louf. A New Family of Bijections for Planar Maps. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a32/