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Paper detail

Last Car Decomposition of Planar Maps

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 (arXiv:1504.04972) and consists in applying a similar decomposition to the peeling trees of planar maps.

preprint2022arXivOpen access
Alice Contat
math.CO
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Alice Contat

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