Searched for: author%3A%22Van+Mieghem%2C+P.F.A.%22
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Van Mieghem, P.F.A. (author), Jokic, I. (author)
Except for the empty graph, we show that the orthogonal matrix X of the adjacency matrix A determines that adjacency matrix completely, but not always uniquely. The proof relies on interesting properties of the Hadamard product Ξ = X ◦ X. As a consequence of the theory, we show that irregular co-eigenvector graphs exist only if the number of...
journal article 2024
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Van Mieghem, P.F.A. (author)
Although eigenvectors belong to the core of linear algebra, relatively few closed-form expressions exist, which we bundle and discuss here. A particular goal is their interpretation for graph-related matrices, such as the adjacency matrix of an undirected, possibly weighted graph.
journal article 2024
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Qiu, Z. (author), Jokic, I. (author), Tang, Siyu (author), Noldus, R.A.C.J. (author), Van Mieghem, P.F.A. (author)
Although resource management schemes and algorithms for networks are well established, we present two novel ideas, based on graph theory, that solve inverse all shortest path problem. Given a symmetric and non-negative demand matrix, the inverse all shortest path problem (IASPP) asks to find a weighted adjacency matrix of a graph such that...
journal article 2024
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Persoons, R.D.L. (author), Sensi, M. (author), Prasse, B. (author), Van Mieghem, P.F.A. (author)
We extend the N-intertwined mean-field approximation (NIMFA) for the susceptible-infectious-susceptible (SIS) epidemiological process to time-varying networks. Processes on time-varying networks are often analyzed under the assumption that the process and network evolution happen on different timescales. This approximation is called timescale...
journal article 2024
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Ma, L. (author), Qiu, Z. (author), Van Mieghem, P.F.A. (author), Kitsak, M.A. (author)
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? The complexity and variability inherent in data collection and reporting suggest otherwise. While we cannot evaluate the integrity of the COVID-19 epidemic data in a holistic fashion, we...
journal article 2024
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Jokic, I. (author), Van Mieghem, P.F.A. (author)
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-dimensional line. The attraction and repulsion forces move the nodal position on the line, depending on how similar or different the neighbourhoods of two adjacent...
journal article 2023
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Millán, Ana P. (author), van Straaten, Elisabeth C. W. (author), Stam, Cornelis J. (author), Nissen, Ida A. (author), Idema, Sander (author), Baayen, Johannes C. (author), Van Mieghem, P.F.A. (author), Hillebrand, Arjan (author)
Epilepsy surgery is the treatment of choice for drug-resistant epilepsy patients, but only leads to seizure freedom for roughly two in three patients. To address this problem, we designed a patient-specific epilepsy surgery model combining large-scale magnetoencephalography (MEG) brain networks with an epidemic spreading model. This simple...
journal article 2023
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Budel, G.J.A. (author), Jin, Y. (author), Van Mieghem, P.F.A. (author), Kitsak, M.A. (author)
Interpreting natural language is an increasingly important task in computer algorithms due to the growing availability of unstructured textual data. Natural Language Processing (NLP) applications rely on semantic networks for structured knowledge representation. The fundamental properties of semantic networks must be taken into account when...
journal article 2023
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Wang, F. (author), Cetinay, Hale (author), He, Zhidong (author), Liu, L. (author), Van Mieghem, P.F.A. (author), Kooij, Robert (author)
For this study, we investigated efficient strategies for the recovery of individual links in power grids governed by the direct current (DC) power flow model, under random link failures. Our primary objective was to explore the efficacy of recovering failed links based solely on topological network metrics. In total, we considered 13 recovery...
journal article 2023
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Shvydun, S. (author), Van Mieghem, P.F.A. (author)
Modelling temporal networks is an open problem that has attracted researchers from a diverse range of fields. Currently, the existing modelling solutions of time-evolving graphs do not allow us to provide an accurate graph sequence. In this paper, we examine the network dynamics from a system identification perspective. We prove that any...
journal article 2023
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Achterberg, M.A. (author), Van Mieghem, P.F.A. (author)
The influence of people's individual responses to the spread of contagious phenomena, like the COVID-19 pandemic, is still not well understood. We investigate the Markovian Generalized Adaptive Susceptible-Infected-Susceptible (G-ASIS) epidemic model. The G-ASIS model comprises many contagious phenomena on networks, ranging from epidemics and...
journal article 2022
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Achterberg, M.A. (author), Prasse, B. (author), Van Mieghem, P.F.A. (author)
We analyze continuous-time Markovian ϵ-SIS epidemics with self-infections on the complete graph. The majority of the graphs are analytically intractable, but many physical features of the ϵ-SIS process observed in the complete graph can occur in any other graph. In this work, we illustrate that the timescales of the ϵ-SIS process are related...
journal article 2022
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Van Mieghem, P.F.A. (author)
A complex fractional derivative can be derived by formally extending the integer k in the kth derivative of a function, computed via Cauchy's integral, to complex α. This straightforward approach reveals fundamental problems due to inherent nonanalyticity. A consequence is that the complex fractional derivative is not uniquely defined. We...
journal article 2022
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Raftopoulou, M. (author), Litjens, R. (author), Van Mieghem, P.F.A. (author)
In this paper, we focus on the link density in random geometric graphs (RGGs) with a distance-based connection function. After deriving the link density in D dimensions, we focus on the two-dimensional (2D) and three-dimensional (3D) space and show that the link density is accurately approximated by the Fréchet distribution, for any...
journal article 2022
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Achterberg, M.A. (author), Prasse, B. (author), Ma, L. (author), Trajanovski, S. (author), Kitsak, M.A. (author), Van Mieghem, P.F.A. (author)
Researchers from various scientific disciplines have attempted to forecast the spread of coronavirus disease 2019 (COVID-19). The proposed epidemic prediction methods range from basic curve fitting methods and traffic interaction models to machine-learning approaches. If we combine all these approaches, we obtain the Network Inference-based...
journal article 2022
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Prasse, B. (author), Van Mieghem, P.F.A. (author)
A network consists of two interdependent parts: the network topology or graph, consisting of the links between nodes and the network dynamics, specified by some governing equations. A crucial challenge is the prediction of dynamics on networks, such as forecasting the spread of an infectious disease on a human contact network. Unfortunately,...
journal article 2022
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Millán, Ana P. (author), van Straaten, Elisabeth C.W. (author), Stam, Cornelis J. (author), Nissen, Ida A. (author), Idema, Sander (author), Baayen, Johannes C. (author), Van Mieghem, P.F.A. (author), Hillebrand, Arjan (author)
Epilepsy surgery is the treatment of choice for drug-resistant epilepsy patients. However, seizure-freedom is currently achieved in only 2/3 of the patients after surgery. In this study we have developed an individualized computational model based on MEG brain networks to explore seizure propagation and the efficacy of different virtual...
journal article 2022
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Prasse, B. (author), Achterberg, M.A. (author), Van Mieghem, P.F.A. (author)
During the outbreak of a virus, perhaps the greatest concern is the future evolution of the epidemic: How many people will be infected and which regions will be affected the most? The accurate prediction of an epidemic enables targeted disease countermeasures (e.g., allocating medical staff and quarantining). But when can we trust the...
journal article 2022
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Tewarie, Prejaas (author), Prasse, B. (author), Meier, Jil (author), Mandke, Kanad (author), Warrington, Shaun (author), Stam, Cornelis J (author), Brookes, Matthew J. (author), Van Mieghem, P.F.A. (author), Sotiropoulos, Stamatios N. (author), Hillebrand, Arjan (author)
How temporal modulations in functional interactions are shaped by the underlying anatomical connections remains an open question. Here, we analyse the role of structural eigenmodes, in the formation and dissolution of temporally evolving functional brain networks using resting-state magnetoencephalography and diffusion magnetic resonance...
journal article 2022
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Chang, Brian (author), Yang, Liufei (author), Sensi, M. (author), Achterberg, M.A. (author), Wang, F. (author), Rinaldi, M. (author), Van Mieghem, P.F.A. (author)
We introduce a Markov Modulated Process (MMP) to describe human mobility. We represent the mobility process as a time-varying graph, where a link specifies a connection between two nodes (humans) at any discrete time step. Each state of the Markov chain encodes a certain modification to the original graph. We show that our MMP model...
conference paper 2022
Searched for: author%3A%22Van+Mieghem%2C+P.F.A.%22
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