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math.PR2009
Scaling limits for critical inhomogeneous random graphs with finite third moments
Shankar Bhamidi, Remco van der Hofstad, Johan van Leeuwaarden
We identify the scaling limits for the sizes of the largest components at criticality for inhomogeneous random graphs when the degree exponent satisfies . We see that the…
math.PR2009
Extreme value theory, Poisson-Dirichlet distributions and FPP on random networks
Shankar Bhamidi, Remco van der Hofstad, Gerard Hooghiemstra
We study first passage percolation on the configuration model (CM) having power-law degrees with exponent . To this end we equip the edges with exponential weights. We…