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most citedRandom subgraphs of finite graphs: I. The scaling window under the triangle condition

89 citations · 328 across the 25 of their papers we have counts for

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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…