Last car decomposition of planar maps

  • Alice Contat

    Université Paris-Saclay, Orsay, France
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Abstract

We give new equations which characterize the generating functions of planar quadrangulations and planar triangulations, with zero, one, or two boundaries. The proof is inspired by the Lackner–Panholzer last car decomposition of parking trees and consists in applying a similar decomposition to the peeling trees of planar maps.

Cite this article

Alice Contat, Last car decomposition of planar maps. Ann. Inst. Henri Poincaré Comb. Phys. Interact. (2024), published online first

DOI 10.4171/AIHPD/196