199 citations · 1k across the 32 of their papers we have counts for
35 papers
The Laplacian matrix of weighted threshold graphs
Yingyue Ke, Willem H. Haemers, Piet Van Mieghem
Threshold graphs are generated from one node by repeatedly adding a node that links to all existing nodes or adding a node without links. In the weighted threshold graph, we add a…
Generating Temporal Contact Graphs Using Random Walkers
Anton-David Almasan, Sergey Shvydun, Ingo Scholtes +1
We study human mobility networks through timeseries of contacts between individuals. Our proposed Random Walkers Induced temporal Graph (RWIG) model generates temporal graph sequen…
Time Dynamics of the Dutch Municipality Network
Ivan Jokić, Edgar van Boven, Ioannis Manolopoulos +5
Based on data sets provided by Statistics Netherlands and the International Institute of Social History, we investigate the Dutch municipality merging process and the survivability…
Transition from time-variant to static networks: timescale separation in NIMFA SIS epidemics
Robin Persoons, Mattia Sensi, Bastian Prasse +1
We extend the N-Intertwined Mean-Field Approximation (NIMFA) for the Susceptible-Infectious-Susceptible (SIS) epidemiological process to time-varying networks. Processes on time-va…
Reporting delays: a widely neglected impact factor in COVID-19 forecasts
Long MA, Piet Van Mieghem, Maksim Kitsak
Epidemic forecasts are only as good as the accuracy of epidemic measurements. Is epidemic data, particularly COVID-19 epidemic data, clean and devoid of noise? Common sense implies…
Topological properties and organizing principles of semantic networks
Gabriel Budel, Ying Jin, Piet Van Mieghem +1
Interpreting natural language is an increasingly important task in computer algorithms due to the growing availability of unstructured textual data. Natural Language Processing (NL…
Linear Clustering Process on Networks
Ivan Jokić, Piet Van Mieghem
We propose a linear clustering process on a network consisting of two opposite forces: attraction and repulsion between adjacent nodes. Each node is mapped to a position on a one-d…
Clustering for epidemics on networks: a geometric approach
Bastian Prasse, Karel Devriendt, Piet Van Mieghem
Infectious diseases typically spread over a contact network with millions of individuals, whose sheer size is a tremendous challenge to analysing and controlling an epidemic outbre…
Binet's factorial series and extensions to Laplace transforms
P. Van Mieghem
We investigate a generalization of Binet's factorial series in the parameter \[ μ\left( z\right) =\sum_{m=1}^{\infty}\frac{b_{m}\left( α\right) }{\prod_{k=0}^{m-1}(z+α+k)}% \]…
Network-based Prediction of COVID-19 Epidemic Spreading in Italy
Clara Pizzuti, Annalisa Socievole, Bastian Prasse +1
Initially emerged in the Chinese city Wuhan and subsequently spread almost worldwide causing a pandemic, the SARS-CoV-2 virus follows reasonably well the SIR (Susceptible-Infectiou…
Predicting Dynamics on Networks Hardly Depends on the Topology
Bastian Prasse, Piet Van Mieghem
Processes on networks consist of two interdependent parts: the network topology, consisting of the links between nodes, and the dynamics, specified by some governing equations. Thi…
The Mittag-Leffler function
Piet Van Mieghem
We review the function theoretical properties of the Mittag-Leffler function in a self-contained manner, but also add new results; more than half is new!
Network-Based Prediction of the 2019-nCoV Epidemic Outbreak in the Chinese Province Hubei
Bastian Prasse, Massimo A. Achterberg, Long Ma +1
At the moment of writing (12 February, 2020), the future evolution of the 2019-nCoV virus is unclear. Predictions of the further course of the epidemic are decisive to deploy targe…
The Viral State Dynamics of the Discrete-Time NIMFA Epidemic Model
Bastian Prasse, Piet Van Mieghem
The majority of research on epidemics relies on models which are formulated in continuous-time. However, real-world epidemic data is gathered and processed in a digital manner, whi…
Structural transition in interdependent networks with regular interconnections
Xiangrong Wang, Robert E. Kooij, Yamir Moreno +1
Networks are often made up of several layers that exhibit diverse degrees of interdependencies. A multilayer interdependent network consists of a set of graphs that are interco…
The Simplex Geometry of Graphs
Karel Devriendt, Piet Van Mieghem
Graphs are a central object of study in various scientific fields, such as discrete mathematics, theoretical computer science and network science. These graphs are typically studie…
Designing virus-resistant, high-performance networks: a game-formation approach
Stojan Trajanovski, Fernando A. Kuipers, Yezekael Hayel +2
Designing an optimal network topology while balancing multiple, possibly conflicting objectives like cost, performance, and resiliency to viruses is a challenging endeavor, let alo…
Universality of the SIS prevalence in networks
Piet Van Mieghem
Epidemic models are increasingly used in real-world networks to understand diffusion phenomena (such as the spread of diseases, emotions, innovations, failures) or the transport of…
Die-out Probability in SIS Epidemic Processes on Networks
Qiang Liu, Piet Van Mieghem
An accurate approximate formula of the die-out probability in a SIS epidemic process on a network is proposed. The formula contains only three essential parameters: the largest eig…
Estimating the covariance structure of heterogeneous SIS epidemics on networks
E. Cator, H. Don, P. Van Mieghem
Heterogeneous Markovian Susceptible-Infected-Susceptible (SIS) epidemics with a general infection rate matrix are considered. Using a non-negative matrix factorizat…
Optimal curing policy for epidemic spreading over a community network with heterogeneous population
Stefania Ottaviano, Francesco De Pellegrini, Stefano Bonaccorsi +1
The design of an efficient curing policy, able to stem an epidemic process at an affordable cost, has to account for the structure of the population contact network supporting the…
Exact Coupling Threshold for Structural Transition in Interconnected Networks
Faryad Darabi Sahneh, Caterina Scoglio, Piet Van Mieghem
Interconnected networks are mathematical representation of systems where two or more simple networks are coupled to each other. Depending on the coupling weight between the two com…
Correlation between centrality metrics and their application to the opinion model
Cong Li, Qian Li, Piet Van Mieghem +2
In recent decades, a number of centrality metrics describing network properties of nodes have been proposed to rank the importance of nodes. In order to understand the correlations…
Decentralized Protection Strategies against SIS Epidemics in Networks
Stojan Trajanovski, Yezekael Hayel, Eitan Altman +2
Defining an optimal protection strategy against viruses, spam propagation or any other kind of contamination process is an important feature for designing new networks and architec…