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A concentration inequality for the maximum vertex degree in random dissections
Kelvin Rivera-Lopez, Douglas Rizzolo · 2022-04-05 · via math.PR updates on arXiv.org

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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