288 citations · 600 across the 11 of their papers we have counts for
6 papers · 1 filter
Weak percolation on multiplex networks with overlapping edges
G. J. Baxter, R. A. da Costa, S. N. Dorogovtsev +1
We solve the weak percolation problem for multiplex networks with overlapping edges. In weak percolation, a vertex belongs to a connected component if at least one of its neighbors…
Nonbacktracking expansion of finite graphs
Gábor Timár, Rui A. da Costa, Sergey N. Dorogovtsev +1
Message passing equations yield a sharp percolation transition in finite graphs, as an artifact of the locally treelike approximation. For an arbitrary finite, connected, undirecte…
Solution of the explosive percolation quest. II. Infinite-order transition produced by the initial distributions of clusters
R. A. da Costa, S. N. Dorogovtsev, A. V. Goltsev +1
We describe the effect of power-law initial distributions of clusters on ordinary percolation and its generalizations, specifically, models of explosive percolation processes based…
Solution of the explosive percolation quest: Scaling functions and critical exponents
R. A. da Costa, S. N. Dorogovtsev, A. V. Goltsev +1
Percolation refers to the emergence of a giant connected cluster in a disordered system when the number of connections between nodes exceeds a critical value. The percolation phase…
Critical exponents of the explosive percolation transition
R. A. da Costa, S. N. Dorogovtsev, A. V. Goltsev +1
In a new type of percolation phase transition, which was observed in a set of non-equilibrium models, each new connection between vertices is chosen from a number of possibilities…
"Explosive Percolation" Transition is Actually Continuous
R. A. da Costa, S. N. Dorogovtsev, A. V. Goltsev +1
The basic notion of percolation in physics assumes the emergence of a giant connected (percolation) cluster in a large disordered system when the density of connections exceeds som…