Publications

These are my publications, preprints & theses

Preprints

• [new!] Tropical toric maximum likelihood estimation
  with Eric Boniface and Serkan Hoşten

• [new!]  Exploring the space of graphs with fixed discrete curvatures
  with Michelle Roost, Giulio Zucal and Jürgen Jost

• The two lives of the Grassmannian
  with Hannah Friedman and Bernd Sturmfels

• Uniform density in matroids, matrices and graphs
  with Raffaella Mullas 

• Fast node vector distance computations using Laplacian solvers
  with Michele Coscia

• Augmentations of Forman's Ricci Curvature and their Applications in Community Detection
  with Lukas Fesser, Sergio Serrano de Haro Iváñez, Melanie Weber and Renaud Lambiotte

• Constructing Laplacian matrices with Soules vectors: inverse eigenvalue problem and applications
  with Renaud Lambiotte and Piet Van Mieghem

Publications

1. [new!] Graph curvature via resistance distance [pdf]
   with Andrea Ottolini and Stefan Steinerberger, accepted in Discrete Applied Mathematics, 2024

2. Centered PSD matrices with thin spectrum are M-matrices
   in Electronic Journal of Linear Algebra, 2023

3. Quantifying ideological polarization on a network using generalized Euclidean distance
   with Marilena Hohmann and Michele Coscia, in Science Advances, 2023

4. Gromov centrality: a multi-scale measure of network centrality using triangle inequality excess [pdf]
   with Shazia Babul and Renaud Lambiotte, in Physical Review E, 2023 

5. Discrete curvature on graphs from the effective resistance
   with Renaud Lambiotte, in IOP Journal of Complexity, 2023

6. Effective resistance is more than distance: Laplacians, Simplices and the Schur complement [pdf]
   in Linear Algebra and its Applications, 2022

7. Clustering for epidemics on networks: a geometric approach [pdf]
   with Bastian Prasse and Piet Van Mieghem, in CHAOS: Interdisciplinary Journal on Nonlinear Science, 2022

8. Nonlinear consensus on networks: equilibria, effective resistance and trees of motifs [pdf]
   with Marc Homs-Dones and Renaud Lambiotte, in SIAM: Journal on Applied Dynamics Systems, 2021

9. Variance and covariance of distributions on graphs
   with Samuel Martin-Gutierrez and Renaud Lambiotte, in SIAM Review, 2021

10. Non-linear network dynamics with consensus-dissensus bifurcation [pdf]
    with Renaud Lambiotte, in Journal of Nonlinear Science, 2021

11. Tighter spectral bounds for the cut size, based on Laplacian eigenvectors [pdf]
    with Piet Van Mieghem, in Linear Algebra and its Applications, 2019

12. The simplex geometry of graphs [pdf]
    with Piet Van Mieghem, in Journal of Complex Networks, 2019

13. Nodal vulnerability to targeted attacks in power grids [pdf]
    with Hale Cetinay and Piet Van Mieghem, in Applied Network Science, 2018

14. Unified mean-field framework for SIS epidemics on networks, based on graph partitioning and the isoperimetric inequality [pdf] with Piet Van Mieghem, in Physical Review E, 2017

15. Pseudoinverse of the Laplacian and best spreader node in a network [pdf]
    with Piet Van Mieghem, in Physical Review E, 2017

See also: arXiv, Google scholar, OrcID

Theses

• Graph Geometry from effective resistances
  PhD thesis at University of Oxford, 2022

• Structure and dynamics of complex networks
  MSc thesis at TUDelft, 2017