Limit theorems for the maximal tree size of a Galton-Watson forest in the critical case

DOI10.1515/dma-2023-0019zbMath1527.60066OpenAlexW4385989355MaRDI QIDQ6051965

Elena V. Khvorostianskaia

Publication date: 20 September 2023

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2023-0019

zbMATH Keywords

limit distributionGalton-Watson forestmaximal tree size

Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35) Combinatorial probability (60C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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• A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
• Random Graphs and Complex Networks
• Emergence of the giant tree in a random forest
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• A remark on the Galton-Watson forests
• Limit distributions for the number of leaves in a random forest
• The maximum tree of a random forest in the configuration graph