The component sizes of a critical random graph with given degree sequence

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The Component Sizes of a Critical Random Graph with given Degree Sequence by Adrien Joseph

Consider a critical random multigraph Gn with n vertices constructed by the configuration model such that its vertex degrees are independent random variables with the same distribution ν (criticality means that the second moment of ν is finite and equals twice its first moment). We specify the scaling limits of the ordered sequence of component sizes of Gn as n tends to infinity in different ca...

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ژورنال

عنوان ژورنال: The Annals of Applied Probability

سال: 2014

ISSN: 1050-5164

DOI: 10.1214/13-aap985