On the maximum size of random trees

  • M. Protasi
  • M. Talamo
Colloquium On Trees In Algebra And Programming Algorithms And Combinatorics
Part of the Lecture Notes in Computer Science book series (LNCS, volume 185)


In this paper we prove a conjecture of Erdös and Palka on the maximum size of random trees. Furthermore, while, generally speaking, in the probabilistic analysis the results are proved only when the size of the graphs tends to infinity, in this case, with extremely small probability of error, the results also hold for graphs of small size.


Random Graph Small Probability Random Tree Sparse Graph Dense Graph 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • M. Protasi
    • 1
  • M. Talamo
    • 2
  1. 1.Dipartimento di Matematica, Università dell'AquilaL'Aquila. Incaricato di ricerca presso lo IASI-CNR
  2. 2.Instituto di Analisi dei Sistemi ed Informatica del C.N.R.Roma

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