Cycles And Unicyclic Components In Random Graphs

نویسنده

  • Svante Janson
چکیده

The sizes of the cycles and unicyclic components in the random graph G(n, n/2 ± s), where n ≪ s ≪ n, are studied using the language of point processes. This refines several earlier results by different authors. Asymptotic distributions of various random variables are given; these distributions include the gamma distributions with parameters 1/4, 1/2 and 3/4, as well as the Poisson–Dirichlet and GEM distributions with parameters 1/4 and 1/2.

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عنوان ژورنال:
  • Combinatorics, Probability & Computing

دوره 12  شماره 

صفحات  -

تاریخ انتشار 2003