Complex Networks: Spectral properties, transport, diffusion and dynamics

By R. Cohen, Shlomo Havlin. 2010

715 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/48be1402799fb99d45cbe68ddd7d76ce30ee1053

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In Computational Theory and Mathematics

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Citations in the corpus

Vital nodes identification in complex networks (2016, methodology): “ourse, if we do not care the approximation guarantee, we can use the greedy algorithms anyway. 6.4. Percolation methods Network percolation can be classiﬁed into bond percolation and site percolation [265]. Given an undirected network G(V,E), in bond percolation, each edge is preserved (i.e., occupi”
Catastrophic cascade of failures in interdependent networks (2009, methodology): “The implications are dramatic – the current methods applied to the design of robust networks need to be modiﬁed to include the ﬁndings about interdependent networks.”
Consensus clustering in complex networks (2012, background): “Network systems [1–8] typically display a modular organization, reﬂecting the existence of special aﬃnities among vertices in the same module, which may be a consequence of their having similar features or the same roles in the network.”
Spatial Networks (2010, background): “From road networks to air transport More flows and statistical physics • David Aldous, “Spatial Transportation Networks with Transfer Costs: Asymptotic Optimality of Hub and Spoke Models” • Marc Barthélemy, “Spatial networks” Physics Reports 499 (1), 2011.”
Limits of modularity maximization in community detection (2011, background): “Limits of modularity maximization in community detection Andrea Lancichinetti1, 2 and Santo Fortunato3, 1 1Complex Networks and Systems Lagrange Lab, Institute for Scientific Interchange, Torino, Italy 2Physics Department, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy 3Depa”
Do the Rich Get Richer? An Empirical Analysis of the Bitcoin Transaction Network (2013, background): “Indeed, many complex systems can be represented as networks, ranging from biochemical systems, through the Internet and the World Wide Web, to various social systems [1–7].”
Robustness of a Network of Networks (2010, background): “In recent years dramatic advances in the field of complex networks have occurred [1–13].”
Community detection in networks: A user guide (2016, background): “The science of networks is a modern discipline spanning the natural, social and computer sciences, as well as engineering (Barrat et al., 2008; Caldarelli, 2007; Cohen and Havlin, 2010; Dorogovtsev and Mendes, 2013; Estrada, 2011; Estrada and Knight, 2015; Newman, 2010).”
Random walks and diffusion on networks (2016, background): “ article. The spectral gap (and thus 2) governs the relaxation time. The corresponding eigenvector u 2 is called the \Fiedler vector". For details of spectral properties of networks, see Refs. [44, 51, 54, 93, 137, 139, 140, 224, 225]. When a network is undirected, one can also construct Eq. (”
The extreme vulnerability of interdependent spatially embedded networks (2012, background): “The size of the giant component at the transition is P ∞ = P∞(x), where x is the solution of equation (3) together with its tangential condition equation (4).”