Karel Devriendt
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
See also: Google Scholar, arXiv
Peer reviewed:
Graphs with nonnegative resistance curvature, 2025 (link)
K. Devriendt
Tropical toric maximum likelihood estimation, 2025 (link)
E. Boniface, K. Devriendt, S. Hoşten
Demystifying topological message-passing with relational structures: A case study on oversquashing in simplicial message-passing, 2025 (link)
D. Taha, J. Chapman, M. Eidi, K. Devriendt, G. Montufar
The two Lives of the Grassmannian, 2025 (link)(arXiv)(code)
K. Devriendt, H. Friedman, B. Reinke, B. Sturmfels
Kemeny’s constant and the Lemoine point of a simplex, 2024 (link)(arXiv)
K. Devriendt
Exploring the space of graphs with fixed discrete curvatures, 2024 (link)
M. Roost, G. Zucal, K. Devriendt, J. Jost
Augmentations of Forman's Ricci Curvature and their Applications in Community Detection, 2024 (link)(code)
L. Fesser, S. Serrano de Haro Iváñez, K. Devriendt, M. Weber, R. Lambiotte
Graph curvature via resistance distance, 2024 (link)(pdf)
K. Devriendt, A. Ottolini, S. Steinerberger
Centered PSD matrices with thin spectrum are M-matrices, 2023 (link)
K. Devriendt
Quantifying ideological polarization on a network using generalized Euclidean distance, 2023 (link)(code)
M. Hohmann, M. Coscia
Gromov centrality: a multi-scale measure of network centrality using triangle inequality excess, 2022 (link)(pdf)
S. Babul, K. Devriendt, R. Lambiotte
Discrete curvature on graphs from the effective resistance, 2022 (link)(pdf)
K. Devriendt, R. Lambiotte
Effective resistance is more than distance: Laplacians, Simplices and the Schur complement, 2022 (link)(pdf)
K. Devriendt
Clustering for epidemics on networks: a geometric approach, 2021 (link)(pdf)
B. Prasse, K. Devriendt, P. Van Mieghem
Nonlinear consensus on networks: equilibria, effective resistance and trees of motifs, 2021 (link)(pdf)
M. Homs-Dones, R. Lambiotte, K. Devriendt
Variance and covariance of distributions on graphs, 2021 (link)(pdf)
K. Devriendt, S. Martin-Gutierrez, R. Lambiotte
Non-linear network dynamics with consensus-dissensus bifurcation, 2021 (link, pdf)
K. Devriendt, R. Lambiotte
Tighter spectral bounds for the cut size, based on Laplacian eigenvectors, 2019 (link, pdf)
K. Devriendt, P. Van Mieghem
The simplex geometry of graphs, 2019 (link, pdf)
K. Devriendt, P. Van Mieghem
Nodal vulnerability to targeted attacks in power grids, 2018 (link, pdf)
H. Cetinay, K. Devriendt, P. Van Mieghem
Unified mean-field framework for SIS epidemics on networks, based on graph partitioning and the isoperimetric inequality, 2017 (link, pdf)
K. Devriendt, P. Van Mieghem
Pseudoinverse of the Laplacian and best spreader node in a network, 2017 (link, pdf)
P. Van Mieghem, K. Devriendt, H. Cetinay
Preprints
The geometry of magnitude for finite metric spaces (arXiv)
K. Devriendt
Gremban Expansion for Signed Networks: Algebraic and Combinatorial Foundations for Community-Faction Detection, 2025 (arxiv)
F. Diaz-Diaz, K. Devriendt, R. Lambiotte
Fast node vector distance computations using Laplacian solvers, 2023 (arxiv)(code)
M. Coscia, K. Devriendt
Uniform density in matroids, matrices and graphs, 2023 (arXiv)
K. Devriendt, R. Mullas
Constructing Laplacian matrices with Soules vectors: inverse eigenvalue problem and applications, 2019 (pdf)
K. Devriendt, R. Lambiotte, P. Van Mieghem
My research revolves around graphs and their applications. During my PhD at University of Oxford, I studied the concept of effective resistance and graph geometry and during my postdocs at Max Planck Institute in Leipzig and Dresden, I focused on matroids, tropical geometry and algebraic statistics. Currently, my main interests are discrete curvature and discrete geometry.
I also work on applications such as network epidemics, social networks analysis and neural network geometry. If this sounds interesting, make sure to check out the weekly Networks Seminar! Past talks are also on Youtube.