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arXiv · 2204.01687

A concentration inequality for the maximum vertex degree in random dissections

Kelvin Rivera-Lopez·Douglas Rizzolo
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Abstract

We obtain a concentration inequality for the maximum degree of a vertex in a uniformly random dissection of a polygon. This resolves a conjecture posed by Curien and Kortchemski in 2012. Our approach is based on a bijection with dual trees and the tools of analytic combinatorics.

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Kelvin Rivera-Lopez, Douglas Rizzolo. 2022-04-04. A concentration inequality for the maximum vertex degree in random dissections. https://arxiv.org/abs/2204.01687

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