Limit distributions of the number of loops in a random configuration graph

DOI10.1134/S0081543813060175zbMath1286.05156OpenAlexW2041164110MaRDI QIDQ2446225

M. M. Stepanov, Yuriy L. Pavlov

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543813060175

zbMATH Keywords

number of loops of a vertex

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Limit theorems in probability theory (60F99)

Related Items (1)

On limit behavior of maximum vertex degree in a conditional configuration graph near critical points

Cites Work

• A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
• The asymptotic number of labeled graphs with given degree sequences
• Distances in random graphs with finite mean and infinite variance degrees
• Sur la distribution limite du terme maximum d'une série aléatoire
• The Probability That a Random Multigraph is Simple
• A critical point for random graphs with a given degree sequence

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