3.2k citations · 16k across the 104 of their papers we have counts for
102 papers
Early warning signals for phase transitions in networks
A. V. Goltsev, S. N. Dorogovtsev
The percolation phase transition in complex network systems attracts much attention and has numerous applications in various research fields. Finite size effects smooth the transit…
Deterministic simplicial complexes
S. N. Dorogovtsev, P. L. Krapivsky
We investigate simplicial complexes deterministically growing from a single vertex. In the first step, a vertex and an edge connecting it to the primordial vertex are added. The re…
Statistics of remote regions of networks
J. G. Oliveira, S. N. Dorogovtsev, J. F. F. Mendes
We delve into the statistical properties of regions within complex networks that are distant from vertices with high centralities, such as hubs or highly connected clusters. These…
The nature of hypergraph -core percolation problems
Ginestra Bianconi, Sergey N. Dorogovtsev
Hypergraphs are higher-order networks that capture the interactions between two or more nodes. Hypergraphs can always be represented by factor graphs, i.e. bipartite networks betwe…
The theory of percolation on hypergraphs
Ginestra Bianconi, Sergey N. Dorogovtsev
Hypergraphs capture the higher-order interactions in complex systems and always admit a factor graph representation, consisting of a bipartite network of nodes and hyperedges. As h…
Localization of nonbacktracking centrality on dense subgraphs of sparse networks
G. Timár, S. N. Dorogovtsev, J. F. F. Mendes
The nonbacktracking matrix, and the related nonbacktracking centrality (NBC) play a crucial role in models of percolation-type processes on networks, such as non-recurrent epidemic…