Random trees have height \(O(\sqrt{n})\)
From MaRDI portal
Publication:6634424
DOI10.1214/24-aop1694MaRDI QIDQ6634424
Louigi Addario-Berry, Serte Donderwinkel
Publication date: 7 November 2024
Published in: The Annals of Probability (Search for Journal in Brave)
Trees (05C05) Combinatorial probability (60C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scaling limits of random graphs from subcritical classes
- Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation
- Spanning forests in regular planar maps
- Critical random graphs: limiting constructions and distributional properties
- Random graphs from a block-stable class
- The continuum random tree. I
- The number of homeomorphically irreducible trees, and other species
- A mating-of-trees approach for graph distances in random planar maps
- École d'été de probabilités de Saint-Flour XIII - 1983
- Bijective counting of tree-rooted maps and shuffles of parenthesis systems
- The average height of binary trees and other simple trees
- Most trees are short and fat
- SLE as a mating of trees in Euclidean geometry
- Sub-Gaussian tail bounds for the width and height of conditioned Galton-Watson trees
- Universal height and width bounds for random trees
- Global lower mass-bound for critical configuration models in the heavy-tailed regime
- The stable graph: the metric space scaling limit of a critical random graph with i.i.d. power-law degrees
- Random tree-weighted graphs
- Universality for critical heavy-tailed network models: metric structure of maximal components
- Limits of random tree-like discrete structures
- Liouville quantum gravity spheres as matings of finite-diameter trees
- Sub-exponential tail bounds for conditioned stable Bienaymé-Galton-Watson trees
- The continuum random tree. III
- Active spanning trees with bending energy on planar maps and SLE-decorated Liouville quantum gravity for \(\kappa>8\)
- Tail bounds for the height and width of a random tree with a given degree sequence
- The Enumeration of Trees by Height and Diameter
- On the Altitude of Nodes in Random Trees
- The Distribution of Heights of Binary Trees and Other Simple Trees
- On the Tchebychef Inequality of Bernstein
- On the Enumeration of Tree-Rooted Maps
- On the height of trees
- The distance between points in random trees
- Réarrangements de fonctions et dénombrement
- The Foata-Fuchs proof of Cayley's formula, and its probabilistic uses
This page was built for publication: Random trees have height \(O(\sqrt{n})\)