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

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math.PR2021★ 1 cited

Barely supercritical percolation on Poissonian scale-free networks

Souvik Dhara, Remco van der Hofstad

We study the giant component problem slightly above the critical regime for percolation on Poissonian random graphs in the scale-free regime, where the vertex weights and degrees h…

math.PR2021

Multiscale genesis of a tiny giant for percolation on scale-free random graphs

Shankar Bhamidi, Souvik Dhara, Remco van der Hofstad

We study the critical behavior for percolation on inhomogeneous random networks on vertices, where the weights of the vertices follow a power-law distribution with exponent $τ\…