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Number of Vertices of a Given Outdegree in a Galton-Watson Forest

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Mathematics and Computer Science III

Part of the book series: Trends in Mathematics ((TM))

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Abstract

Galton-Watsonforests consisting of N trees and n non-root vertices are considered. The limit distributions of the number of vertices of a given outdegree in such a forest are obtained.

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References

  1. Kolchin, V.F. Random mappings. Springer, New York, 1986.

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  2. Mylläri, T. - Limit distributions for the number of leaves in a random forest.Adv. in Applied Prob., vol. 34(4), 2002.

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  3. Mylläri, T., Pavlov Yu. - Limit distributions of the number of vertices of a given outdegree in a random forest. To appear inJournal of Mathematical Sciences.

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© 2004 Springer Basel AG

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Mylläri, T. (2004). Number of Vertices of a Given Outdegree in a Galton-Watson Forest. In: Drmota, M., Flajolet, P., Gardy, D., Gittenberger, B. (eds) Mathematics and Computer Science III. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7915-6_28

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  • DOI: https://doi.org/10.1007/978-3-0348-7915-6_28

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9620-7

  • Online ISBN: 978-3-0348-7915-6

  • eBook Packages: Springer Book Archive

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