Large Graphs and Networks

Research on large graphs and networks is conducted by 11 professors and about 30 PhD students and postdocs.

Principal Investigators :

Pierre-Antoine Absil, Vincent Blondel, Olivier Bonaventure, Jean-Charles Delvenne, Yves Deville, Pierre Dupont, Julien Hendrickx, Raphaël Jungers, Yurii Nesterov, Etienne Rivière, Marco Saerens

Research Labs :

Machine Learning Group, IP Networking Lab, Cloud and Large Scale computing group

Research Areas :

We look at some of the most recent and fundamental computational challenges raised by large networks. We study questions related to the classification, equilibria calculation, visualization, hierarchical reduction, analysis of dynamical properties and stochastic analysis of large networks. We also develop new analysis techniques allowing to extract useful information from graphs and networks, for example by detecting tightly connected groups within the network, finding the most prestigious nodes, categorizing unlabeled nodes thanks to some labeled ones, computing similarities between nodes, etc.

Applications include topics such as data-mining of text documents, web-searching, analysis of telephone, traffic and electricity networks. The Internet, the largest deployed network today, is of particular interest. Measurement and modeling tools and techniques that we develop allow us to obtain more accurate information about its organization (interconnections between Internet Service Providers, network topologies, ...) and to build realistic models of computer networks. We are using these tools and models to better understand the structure of the Internet, and also to evaluate the performance of new networking protocols.

Most recent publications

Below are listed the 10 most recent journal articles and conference papers produced in this research area. You also can access all publications by following this link : see all publications.


Journal Articles


1. Heroy, Samuel; Loaiza Saa, Isabella; Pentland, Alex; O’Clery, Neave. COVID-19 policy analysis: labour structure dictates lockdown mobility behaviour. In: Journal of The Royal Society Interface, Vol. 18, no.176 (2021). doi:10.1098/rsif.2020.1035. http://hdl.handle.net/2078.1/244781

2. Mehrmann, Volker; Van Dooren, Paul. Structured Backward Errors for Eigenvalues of Linear Port-Hamiltonian Descriptor Systems. In: SIAM Journal on Matrix Analysis and Applications, Vol. 42, no.1, p. 1-16 (2021). doi:10.1137/20m1344184. http://hdl.handle.net/2078.1/242981

3. Mehrmann, Volker; Van Dooren, Paul. Optimal Robustness of Port-Hamiltonian Systems. In: SIAM Journal on Matrix Analysis and Applications, Vol. 41, no.1, p. 134-151 (2020). doi:10.1137/19m1259092. http://hdl.handle.net/2078.1/242971

4. Mastronardi, Nicola; Van Dooren, Paul. On QZ steps with perfect shifts and computing the index of a differential-algebraic equation. In: IMA Journal of Numerical Analysis, (2020). doi:10.1093/imanum/draa049 (Accepté/Sous presse). http://hdl.handle.net/2078.1/242895

5. Laudadio, Teresa; Mastronardi, Nicola; Van Dooren, Paul. Computing the eigenvectors of nonsymmetric tridiagonal matrices. (Accepté/Sous presse). http://hdl.handle.net/2078.1/242881

6. Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C.; Van Dooren, Paul. Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems. In: Linear Algebra and its Applications, Vol. 604, p. 441-475 (2020). doi:10.1016/j.laa.2020.07.004. http://hdl.handle.net/2078.1/242857

7. Benner, Peter; Goyal, Pawan; Van Dooren, Paul. Identification of port-Hamiltonian systems from frequency response data. In: Systems & Control Letters, Vol. 143, p. 104741 (2020). doi:10.1016/j.sysconle.2020.104741. http://hdl.handle.net/2078.1/242854

8. Bankmann, Daniel; Mehrmann, Volker; Nesterov, Yurii; Van Dooren, Paul. Computation of the Analytic Center of the Solution Set of the Linear Matrix Inequality Arising in Continuous- and Discrete-Time Passivity Analysis. In: Vietnam Journal of Mathematics, Vol. 48, no.4, p. 633-659 (2020). doi:10.1007/s10013-020-00427-x. http://hdl.handle.net/2078.1/242849

9. Hendrickx, Julien. Julien M. Hendrickx [People in Control]. In: IEEE Control Systems Magazine, Vol. 40, no.4, p. 21-22 (2020). doi:10.1109/MCS.2020.2990512. http://hdl.handle.net/2078.1/235005

10. Dopico, Froilan M; Quintana, Maria C; Van Dooren, Paul. Linear system matrices of rational transfer functions. In: arXiv,. (Accepté/Sous presse). http://hdl.handle.net/2078.1/242866


Conference Papers


1. Shi, Mingming. Resilient asynchronous rendezvous of second-order agents under communication noise. 2020 xxx. http://hdl.handle.net/2078.1/238535

2. Shi,Ming; Feng,Shuai; Ishii,Hideaki. Quantized State Feedback Stabilization of Nonlinear Systems Under DoS. 2020 xxx. http://hdl.handle.net/2078.1/238534

3. Hendrickx, Julien; Olshevsky, Alex; Saligrama, venkatesh. MinimaxRank-1Factorization. 2020 xxx. http://hdl.handle.net/2078.1/225595

4. Bazanella, Alexandre S; Gevers, Michel; Hendrickx, Julien. Network Identification with Partial Excitation and Measurement. In: IEEE Conference on Decision and Control, Including the Symposium on Adaptive Processes. Proceedings. p. 5500-5506 (2019). I E E E, 2019 xxx. http://hdl.handle.net/2078.1/225593

5. Pinto, Samuel C; Andersson, Sean B.; Hendrickx, Julien; Cassandras, Christos G.. Optimal Multi-Agent Persistent Monitoring of the Uncertain State of a Finite Set of Targets. In: IEEE Conference on Decision and Control, Including the Symposium on Adaptive Processes. Proceedings. p. 4280-4285 (2019). I E E E, 2019 xxx. http://hdl.handle.net/2078.1/225355

6. Dzyga, Michalina; Ferens, Robert; Gusev, Vladimir; Szykula, Marek. Attainable Values of Reset Thresholds. In: Leibniz International Proceedings in Informatics (LIPIcs). Vol. 83, no.40, p. 1-14 (2017). Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik: Dagstuhl, Germany, 2017 xxx. doi:10.4230/LIPIcs.MFCS.2017.40. http://hdl.handle.net/2078.1/196224

7. Mauroy, Alexandre; Hendrickx, Julien. Spectral Identification of Networks with Inputs. In: Proceedings of the 56th IEEE Conference on Decision and Control (CDC 2017), 2017, p. 469-474 xxx. http://hdl.handle.net/2078.1/192249

8. Bazanella, Alexandre; Gevers, Michel; Hendrickx, Julien; Parraga, Adriane. Identifiability of dynamical networks: which nodes need be measured?. In: Proceedings of the 56th IEEE Conference on Decision and Control (CDC 2017), 2017, p. 5870-5875 xxx. http://hdl.handle.net/2078.1/192245

9. Taylor, Adrien; Hendrickx, Julien; Glineur, François. Performance Estimation Toolbox (PESTO): automated worst-case analysis of first-order optimization methods. In: Proceedings of the 56th IEEE Conference on Decision and Control (CDC 2017), 2017, p. 1278-1283 xxx. doi:10.1109/CDC.2017.8263832. http://hdl.handle.net/2078.1/192237

10. Abdelrahim, Mahmoud; Hendrickx, Julien; Heemels, Maurice. MAX-consensus in open multi-agent systems with gossip interactions. In: Proceedings of the 56th IEEE Conference on Decision and Control (CDC 2017), 2017, p. 4753-4758 xxx. http://hdl.handle.net/2078.1/192227