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math.CO2026
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…
math.CO2026
Enumeration of plane hypermaps with a mixed boundary I
Jérémie Bouttier, Bertrand Eynard, Thomas Lejeune
Plane hypermaps are plane maps endowed with a proper coloration of their inner faces in black or white. We consider the problem of enumerating plane hypermaps with prescribed face…