Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Karel Devriendt"'
Publikováno v:
Journal of Physics: Complexity, Vol 5, Iss 3, p 035011 (2024)
Discrete curvatures are quantities associated to the nodes and edges of a graph that reflect the local geometry around them. These curvatures have a rich mathematical theory and they have recently found success as a tool to analyze networks across a
Externí odkaz:
https://doaj.org/article/5d435db3d56d458f8508553d922f979f
Autor:
Lukas Fesser, Sergio Serrano de Haro Iváñez, Karel Devriendt, Melanie Weber, Renaud Lambiotte
Publikováno v:
Journal of Physics: Complexity, Vol 5, Iss 3, p 035010 (2024)
The notion of curvature on graphs has recently gained traction in the networks community, with the Ollivier–Ricci curvature (ORC) in particular being used for several tasks in network analysis, such as community detection. In this work, we choose a
Externí odkaz:
https://doaj.org/article/a4ff47bbace1494b92cbc4d3e3da5e18
Publikováno v:
Applied Network Science, Vol 3, Iss 1, Pp 1-19 (2018)
Abstract Due to the open data policies, nowadays, some countries have their power grid data available online. This may bring a new concern to the power grid operators in terms of malicious threats. In this paper, we assess the vulnerability of power
Externí odkaz:
https://doaj.org/article/6430a8d9451c483e9362c1ba95396c5d
Autor:
Karel Devriendt
Publikováno v:
The Electronic Journal of Linear Algebra. 39:154-163
We show that real, symmetric, centered (zero row sum) positive semidefinite matrices of order $n$ and rank $n-1$ with eigenvalue ratio $\lambda_{\max}/\lambda_{\min}\leq n/(n-2)$ between the largest and smallest nonzero eigenvalue have nonpositive of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34abe419562ccdee228e267128546bee
https://doi.org/10.13001/ela.2023.7051
https://doi.org/10.13001/ela.2023.7051
Publikováno v:
Hohmann, M, Devriendt, K & Coscia, M 2023, ' Quantifying ideological polarization on a network using generalized Euclidean distance ', Science Advances, vol. 9, no. 9, eabq2044 . https://doi.org/10.1126/sciadv.abq2044
Hohmann, M, Devriendt, K & Coscia, M 2023, ' Quantifying Ideological Polarization on a Network Using Generalized Euclidean Distance ', Science Advances . https://doi.org/10.1126/sciadv.abq2044
Hohmann, M, Devriendt, K & Coscia, M 2023, ' Quantifying Ideological Polarization on a Network Using Generalized Euclidean Distance ', Science Advances . https://doi.org/10.1126/sciadv.abq2044
An intensely debated topic is whether political polarization on social media is on the rise. We can investigate this question only if we can quantify polarization, by taking into account how extreme the opinions of the people are, how much they organ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1482e76ec28ddaf9d607f024459e3691
https://doi.org/10.1126/sciadv.abq2044
https://doi.org/10.1126/sciadv.abq2044
Publikováno v:
SIAM Review. 64:343-359
We develop a theory to measure the variance and covariance of probability distributions defined on the nodes of a graph, which takes into account the distance between nodes. Our approach generalizes the usual (co)variance to the setting of weighted g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::813e373fd1ef054a08e27bed0647bbc7
https://doi.org/10.1137/20m1361328
https://doi.org/10.1137/20m1361328
Publikováno v:
Physical review. E. 106(3-1)
Centrality measures quantify the importance of a node in a network based on different geometric or diffusive properties, and focus on different scales. Here, we adopt a geometrical viewpoint to define a multi-scale centrality in networks. Given a met
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff59cceb6f696eab11231af61cb610b6
https://pubmed.ncbi.nlm.nih.gov/36266872
https://pubmed.ncbi.nlm.nih.gov/36266872
Publikováno v:
Chaos: an interdisciplinary journal of nonlinear science, 31(6)
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 outbreak. For some contact networks, it is possible to group individuals int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90638624fd7a5e3cf523de2d047a02b0
Autor:
Karel Devriendt
This article discusses a geometric perspective on the well-known fact in graph theory that the effective resistance is a metric on the nodes of a graph. The classical proofs of this fact make use of ideas from electrical circuits or random walks; her
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e578aa92ebc2f9d5acd5f814ee608355
http://arxiv.org/abs/2010.04521
http://arxiv.org/abs/2010.04521
Autor:
Karel Devriendt, Renaud Lambiotte
We study a non-linear dynamical system on networks inspired by the pitchfork bifurcation normal form. The system has several interesting interpretations: as an interconnection of several pitchfork systems, a gradient dynamical system and the dominati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::677e73f22ff6f60dcbdfd0cc5c192a96
http://arxiv.org/abs/2002.08408
http://arxiv.org/abs/2002.08408