Width and Mode of the Profile for Some Random Trees of Logarithmic Height by Luc Devroye
نویسنده
چکیده
We propose a new, direct, correlation-free approach based on central moments of profiles to the asymptotics of width (size of the most abundant level) in some random trees of logarithmic height. The approach is simple but gives precise estimates for expected width, central moments of the width, and almost sure convergence. It is widely applicable to random trees of logarithmic height, including recursive trees, binary search trees, quadtrees, planeoriented ordered trees and other varieties of increasing trees.
منابع مشابه
Width and Mode of the Profile for Random Trees of Logarithmic Height1
We propose a new, direct, correlation-free approach based on central moments of profiles to the asymptotics of width (size of the most abundant level) in random trees of logarithmic height. The approach is simple but gives very precise estimates for expected width, central moments of the width, and almost sure convergence. It is widely applicable to random trees of logarithmic height, including...
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