3.1k citations · 3.9k across the 25 of their papers we have counts for
13 papers · 1 filter
Topological measures in weighted hypergraphs
Ekaterina Vasilyeva, Liubov Tupikina, Daniil Musatov +3
Higher-order interactions introduce an additional structural dimension to complex networks, requiring consistent generalizations of classical topological measures. In hypergraphs,…
Reconstructing simplicial complexes from evolutionary games
Yin-Jie Ma, Zhi-Qiang Jiang, Fanshu Fang +2
In distributed systems, knowledge of the network structure of the connections among the unitary components is often a requirement for an accurate prediction of the emerging collect…
Mean-field nature of synchronization stability in networks with multiple interaction layers
Charo I. del Genio, Sergio Faci-Lázaro, Jesús Gómez-Gardeñes +1
The interactions between the components of many real-world systems are best modelled by networks with multiple layers. Different theories have been proposed to explain how multilay…
Finding network communities using modularity density
Federico Botta, Charo I. del Genio
Many real-world complex networks exhibit a community structure, in which the modules correspond to actual functional units. Identifying these communities is a key challenge for sci…
Synchronization in networks with multiple interaction layers
Charo I. del Genio, Jesús Gómez-Gardeñes, Ivan Bonamassa +1
The structure of many real-world systems is best captured by networks consisting of several interaction layers. Understanding how a multi-layered structure of connections affects t…
Synchronization in dynamical networks with unconstrained structure switching
Charo I. del Genio, Miguel Romance, Regino Criado +1
We provide a rigorous solution to the problem of constructing a structural evolution for a network of coupled identical dynamical units that switches between specified topologies w…
Fast and accurate determination of modularity and its effect size
Santiago Treviño, Amy Nyberg, Charo I. Del Genio +1
We present a fast spectral algorithm for community detection in complex networks. Our method searches for the partition with the maximum value of the modularity via the interplay o…
Degree correlations in directed scale-free networks
Oliver Williams, Charo I. Del Genio
Scale-free networks, in which the distribution of the degrees obeys a power-law, are ubiquitous in the study of complex systems. One basic network property that relates to the stru…
The structure and dynamics of multilayer networks
S. Boccaletti, G. Bianconi, R. Criado +6
In the past years, network theory has successfully characterized the interaction among the constituents of a variety of complex systems, ranging from biological to technological, a…
Endemic infections are always possible on regular networks
Charo I. Del Genio, Thomas House
We study the dependence of the largest component in regular networks on the clustering coefficient, showing that its size changes smoothly without undergoing a phase transition. We…
Constructing and sampling directed graphs with given degree sequences
H. Kim, C. I. Del Genio, K. E. Bassler +1
The interactions between the components of complex networks are often directed. Proper modeling of such systems frequently requires the construction of ensembles of digraphs with a…
All scale-free networks are sparse
Charo I. Del Genio, Thilo Gross, Kevin E. Bassler
We study the realizability of scale free-networks with a given degree sequence, showing that the fraction of realizable sequences undergoes two first-order transitions at the value…
Efficient and exact sampling of simple graphs with given arbitrary degree sequence
Charo I. Del Genio, Hyunju Kim, Zoltan Toroczkai +1
Uniform sampling from graphical realizations of a given degree sequence is a fundamental component in simulation-based measurements of network observables, with applications rangin…