542 citations · 2.9k across the 29 of their papers we have counts for
9 papers · 1 filter
Avalanche Collapse of Interdependent Network
G. J. Baxter, S. N. Dorogovtsev, A. V. Goltsev +1
We reveal the nature of the avalanche collapse of the giant viable component in multiplex networks under perturbations such as random damage. Specifically, we identify latent criti…
Heterogeneous-k-core versus Bootstrap Percolation on Complex Networks
G. J. Baxter, S. N. Dorogovtsev, A. V. Goltsev +1
We introduce the heterogeneous--core, which generalizes the -core, and contrast it with bootstrap percolation. Vertices have a threshold which may be different at each…
Bootstrap Percolation on Complex Networks
G J Baxter, S N Dorogovtsev, A V Goltsev +1
We consider bootstrap percolation on uncorrelated complex networks. We obtain the phase diagram for this process with respect to two parameters: , the fraction of vertices initi…
Zero Pearson Coefficient for Strongly Correlated Growing Trees
S. N. Dorogovtsev, A. L. Ferreira, A. V. Goltsev +1
We obtained Pearson's coefficient of strongly correlated recursive networks growing by preferential attachment of every new vertex by edges. We found that the Pearson coefficie…
Percolation on correlated networks
A. V. Goltsev, S. N. Dorogovtsev, J. F. F. Mendes
We reconsider the problem of percolation on an equilibrium random network with degree-degree correlations between nearest-neighboring vertices focusing on critical singularities at…
Potts model on complex networks
S. N. Dorogovtsev, A. V. Goltsev, J. F. F. Mendes
We consider the general p-state Potts model on random networks with a given degree distribution (random Bethe lattices). We find the effect of the suppression of a first order phas…