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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…
math.CO2026
Enumeration of general planar hypermaps with an alternating boundary
Valentin Baillard, Ariane Carrance, Bertrand Eynard
In this paper, we extend the enumerative study of planar hypermaps with an alternating boundary introduced in an earlier work of Bouttier and the second author. In that article, an…