163 citations · 1.4k across the 76 of their papers we have counts for
26 papers · 1 filter
Distance statistics of block-weighted planar quadrangulations
Jérémie Bouttier, Emmanuel Guitter, Hugo Manet
We study random planar quadrangulations in which each block -- i.e., each simple (without multiple edges) component -- is assigned a weight . We derive an explicit expression fo…
Enumeration of planar bipartite tight irreducible maps
Jérémie Bouttier, Emmanuel Guitter, Hugo Manet
We consider planar bipartite maps which are both tight, i.e. without vertices of degree , and -irreducible, i.e. such that each cycle has length at least and such that…
Enumeration of maps with tight boundaries and the Zhukovsky transformation
Jérémie Bouttier, Emmanuel Guitter, Grégory Miermont
We consider maps with tight boundaries, i.e. maps whose boundaries have minimal length in their homotopy class, and discuss the properties of their generating functions $T^{(g)}_{\…
On quasi-polynomials counting planar tight maps
Jérémie Bouttier, Emmanuel Guitter, Grégory Miermont
A tight map is a map with some of its vertices marked, such that every vertex of degree is marked. We give an explicit formula for the number of plana…
Bijective enumeration of planar bipartite maps with three tight boundaries, or how to slice pairs of pants
Jérémie Bouttier, Emmanuel Guitter, Grégory Miermont
We consider planar maps with three boundaries, colloquially called pairs of pants. In the case of bipartite maps with controlled face degrees, a simple expression for their generat…
Maps of unfixed genus and blossoming trees
Éric Fusy, Emmanuel Guitter
We introduce bijections between families of rooted maps with unfixed genus and families of so-called blossoming trees endowed with an arbitrary forward matching of their leaves. We…