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Claudio Castellano
Sapienza University of Rome
PhysicsEndocrinologyPsychologyCondensed matter physicsAnesthesia
272Publications
44H-index
12.1kCitations
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Publications 268
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Last. Claudio CastellanoH-Index: 44
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The spectrum of the non-backtracking matrix plays a crucial role in determining various structural and dynamical properties of networked systems, ranging from the threshold in bond percolation and non-recurrent epidemic processes, to community structure, to node importance. Here we calculate the largest eigenvalue of the non-backtracking matrix and the associated non-backtracking centrality for uncorrelated random networks, finding expressions in excellent agreement with numerical results. We sh...
We consider cumulative merging percolation (CMP), a long-range percolation process describing the iterative merging of clusters in networks, depending on their mass and mutual distance. For a specific class of CMP processes, which represents a generalization of degree-ordered percolation, we derive a scaling solution on uncorrelated complex networks, unveiling the existence of diverse mechanisms leading to the formation of a percolating cluster. The scaling solution accurately reproduces univers...
3 CitationsSource
#1Filippo RadicchiH-Index: 28
#2Claudio CastellanoH-Index: 44
Last. Daniele NotarmuziH-Index: 1
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Dynamical processes exhibiting absorbing states are essential in the modeling of a large variety of situations from material science to epidemiology and social sciences. Such processes exhibit the possibility of avalanching behavior upon slow driving. Here, we study the distribution of sizes and durations of avalanches for well-known dynamical processes on complex networks. We find that all analyzed models display a similar critical behavior, characterized by the presence of two distinct regimes...
We study the interaction between epidemic spreading and a vaccination process. We assume that, similar to the disease spreading, also the vaccination process occurs through direct contact, i.e., it follows the standard susceptible-infected-susceptible (SIS) dynamics. The two competing processes are asymmetrically coupled as vaccinated nodes can directly become infected at a reduced rate with respect to susceptible ones. We study analytically the model in the framework of mean-field theory findin...
The identification of which nodes are optimal seeds for spreading processes on a network is a non-trivial problem that has attracted much interest recently. While activity has mostly focused on non-recurrent type of dynamics, here we consider the problem for the Susceptible-Infected-Susceptible (SIS) spreading model, where an outbreak seeded in one node can originate an infinite activity avalanche. We apply the theoretical framework for avalanches on networks proposed by Larremore et al. [Phys. ...
#1Şirag Erkol (IU: Indiana University Bloomington)H-Index: 1
#2Claudio CastellanoH-Index: 44
Last. Filippo Radicchi (IU: Indiana University Bloomington)H-Index: 28
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Influence maximization is the problem of finding the set of nodes of a network that maximizes the size of the outbreak of a spreading process occurring on the network. Solutions to this problem are important for strategic decisions in marketing and political campaigns. The typical setting consists in the identification of small sets of initial spreaders in very large networks. This setting makes the optimization problem computationally infeasible for standard greedy optimization algorithms that ...
6 CitationsSource
#1Diogo H. Silva (UFV: Universidade Federal de Viçosa)H-Index: 1
#2Silvio C. FerreiraH-Index: 16
Last. Claudio CastellanoH-Index: 44
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We present a comparison between stochastic simulations and mean-field theories for the epidemic threshold of the susceptible-infected-susceptible (SIS) model on correlated networks (both assortative and disassortative) with power-law degree distribution P(k)\sim k^{-\gamma} We confirm the vanishing of the threshold regardless of the correlation pattern and the degree exponent \gamma Thresholds determined numerically are compared with quenched mean-field (QMF) and pair quenched mean-field (...
#1Diogo H. SilvaH-Index: 1
#2Silvio C. FerreiraH-Index: 2
Last. Claudio CastellanoH-Index: 44
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3 CitationsSource
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