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First cycles in random directed graph processes

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Publication:910414
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DOI10.1016/0012-365X(89)90078-2zbMath0696.05044MaRDI QIDQ910414

Béla Bollobás, Steen Hojlund Rasmussen

Publication date: 1989

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


zbMATH Keywords

cyclesrandom graph processesgraph evolution


Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Random graphs (graph-theoretic aspects) (05C80) Paths and cycles (05C38)


Related Items (5)

Minimal autocatalytic networks ⋮ Cycles in a Uniform Graph Process ⋮ Multiscale dynamics of an adaptive catalytic network ⋮ Random biochemical networks: the probability of self-sustaining autocatalysis ⋮ The emergence of a self-catalysing structure in abstract origin-of-life models



Cites Work

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  • The first cycles in an evolving graph
  • Poisson convergence and Poisson processes with applications to random graphs
  • Weighted sums of certain dependent random variables
  • The equilibrium statistics of a clustering process in the uncondensed phase
  • On generalized graphs


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