A Bijection for Rooted Maps on Orientable Surfaces
A Bijection for Rooted Maps on Orientable Surfaces
The enumeration of maps and the study of uniform random maps have been classical topics of combinatorics and statistical physics ever since the seminal work of Tutte in the 1960s. Following the bijective approach initiated by Cori and Vauquelin in the '80s, we describe a bijection between rooted maps, or …