66 citations · 418 across the 61 of their papers we have counts for
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Novel scaling limits for critical inhomogeneous random graphs
Shankar Bhamidi, Remco van der Hofstad, Johan S. H. van Leeuwaarden
We find scaling limits for the sizes of the largest components at criticality for rank-1 inhomogeneous random graphs with power-law degrees with power-law exponent τ. We investigat…
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…
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…
First passage percolation on random graphs with finite mean degrees
Shankar Bhamidi, Remco van der Hofstad, Gerard Hooghiemstra
We study first passage percolation on the configuration model. Assuming that each edge has an independent exponentially distributed edge weight, we derive explicit distributional a…
Spectra of large random trees
Shankar Bhamidi, Steven N. Evans, Arnab Sen
We analyze the eigenvalues of the adjacency matrices of a wide variety of random trees. Using general, broadly applicable arguments based on the interlacing inequalities for the ei…