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math.PR2021
Largest component of subcritical random graphs with given degree sequence
Matthew Coulson, Guillem Perarnau
We study the size of the largest component of two models of random graphs with prescribed degree sequence, the configuration model (CM) and the uniform model (UM), in the (barely)…
math.PR2021
Rankings in directed configuration models with heavy tailed in-degrees
Xing Shi Cai, Pietro Caputo, Guillem Perarnau +1
We consider the extremal values of the stationary distribution of sparse directed random graphs with given degree sequences and their relation to the extremal values of the in-degr…