论文标题

平面地图的最后一辆汽车分解

Last Car Decomposition of Planar Maps

论文作者

Contat, Alice

论文摘要

我们提供的新方程是表征平面四边形和平面三角剖分的生成函数,具有一个或两个边界。该证明的灵感来自于缺乏的启发-Panholzer的最后一辆停车树分解(Arxiv:Arxiv:1504.04972),并在于将类似的分解与平面地图的剥落树进行类似的分解。

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.

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