288 citations · 600 across the 11 of their papers we have counts for
11 papers
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…
Approximating nonbacktracking centrality and localization phenomena in large networks
G. Timár, R. A. da Costa, S. N. Dorogovtsev +1
Message-passing theories have proved to be invaluable tools in studying percolation, non-recurrent epidemics and similar dynamical processes on real-world networks. At the heart of…
Effect of the initial configuration of weights on the training and function of artificial neural networks
R. J. Jesus, M. L. Antunes, R. A. da Costa +3
The function and performance of neural networks is largely determined by the evolution of their weights and biases in the process of training, starting from the initial configurati…
Finding the optimal nets for self-folding Kirigami
N. A. M. Araújo, R. A. da Costa, S. N. Dorogovtsev +1
Three-dimensional shells can be synthesized from the spontaneous self-folding of two-dimensional templates of interconnected panels, called nets. However, some nets are more likely…
Complex network view of evolving manifolds
Diamantino C. da Silva, Ginestra Bianconi, Rui A. da Costa +2
We study complex networks formed by triangulations and higher-dimensional simplicial complexes representing closed evolving manifolds. In particular, for triangulations, the set of…
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…
Correlated Edge Overlaps in Multiplex Networks
Gareth J. Baxter, Ginestra Bianconi, Rui A. da Costa +2
We develop the theory of sparse multiplex networks with partially overlapping links based on their local tree-likeness. This theory enables us to find the giant mutually connected…
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…