3 papers
math.CO2026
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)}_{\…
math.CO2025
The slice decomposition of planar hypermaps
Marie Albenque, Jérémie Bouttier
The slice decomposition is a bijective method for enumerating planar maps (graphs embedded in the sphere) with control over face degrees. In this paper, we extend the slice decompo…
math.CO2024
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…