Welcome to my homepage! I am an assistant professor at Eindhoven University of Technology (TU/e), where I am part of the Department of Mathematics and Computer Science. I am also a research fellow at the Department of Mathematics: Analysis, Logic and Discrete Mathematics at Ghent University and at the Department of Mathematics and Data Science of Vrije UNiversiteit Brussels, supported by a 3-year FWO fellowship. Contact
Faculty of Mathematics and Computer Science Eindhoven University of Technology 5600MB Eindhoven The Netherlands Research I work primarly in algebraic graph theory. I am for example interested in studying which properties of a graph can be deduced from its spectrum. My research interests also include combinatorial optimization and finite geometry. Enumeration of cospectral and coinvariant graphs (arXiv)with C. AlfaroColoring the normalized Laplacian for oriented hypergraphs (arXiv)with R. Mulas and D. Zhang Spectral upper bound on the quantum k-independence number of a graph (arXiv)with C. Elphick and P. Wocjan Eigenvalues, Smith normal form and determinantal ideals (arXiv)with C. Alfaro, K. Heysse and M.C. Vargas On the status sequences of trees (arXiv)with B. Brimkov and A. Grigoriev Printed Circuit Boards Isomorphism: an Experimental Study (journal)with A. Grigoriev and S. Niemzok Computers&Industrial Engineering 148 (2020).On the complexity of solving a decision problem with flow-depending costs: the case of the IJsselmeer dikes (journal) with S. Gribling, D. Lahaye, M. Mnich, G. Regts, L. Vena, G. Verweij and P. Zwaneveld Discrete Opt. 37 (2020)A characterization and an application of weight-regular partitions of graphs (journal)Linear Algebra and Appl. 569 (2019), 164-174Graph switching, 2-ranks, and graphical Hadamard matrices (journal)with S. Butler, W.H. Haemers Discrete Math. 342(10) (2019), 2850-2855On the k-independence number of graphs (journal) with G. Coutinho and M.A. Fiol Discrete Math. 342(10) (2019), 2875-2885 Spectral bounds for the connectivity of regular graphs of given order (journal)with B. Brimkov, X. Martínez-Rivera, J. Zhang and S. O Electron. J. Linear Algebra 34 (2018), 428-443A characterization and an application of weight-regular partitions of graphs (journal)Electron. Notes Discrete Math. 68 (2018), 293-298Proof of a conjecture of Graham and Lovász concerning unimodality of coefficients of the distance characteristic polynomial of a tree (journal)with G. Aalipour, Z. Berikkyzy, L. Hogben, F.H.J. Kenter, J.C.-H. Lin and M. Tait Electron. J. Linear Algebra 34 (2018), 373-380On the Wiener index, distance cospectrality and transmission regular graphs (journal)with B. Brimkov, A. Erey, L. Leshock, X. Martínez-Rivera, S. O, S.-Y. Song and J. Williford Discrete Appl Math. 230 (2017), 1-10An application of Hoffman graphs for spectral characterizations of graphs (journal) with Q. Yang and J.H. Koolen Electron. J. Comb. 24(1) (2017)Spectral bounds for the k-independence number of a graph (journal) with S.M Cioaba and M. Tait Linear Algebra and Appl. 510 (2016), 160-170 On the Distance Spectra of Graphs (journal) with G. Aalipour, Z. Berikkyzy, J. Cummings, J. De Silva, W. Gaok, K. Heysse, L. Hogben, F.H.J. Kentery, J.C.-H. Lin, and M. Tait Linear Algebra and Appl. 497 (2016), 66-87 Switched symplectic graphs and their 2-ranks (journal) with W.H. Haemers Des. Codes Crypt. 81(1) (2016), 35-41Some Spectral and Quasi-Spectral Characterizations of Distance-Regular Graphs (journal)with E.R. van Dam and M.A. Fiol J. Combin. Theory Ser. A 143 (2016), 1-18Godsil-McKay switching and isomorphism (journal)with A.E. Brouwer and W.H. Haemers Electron. J. Linear Algebra 28 (2015), 4-11 An Interlacing Approach for Bounding the Sum of Laplacian Eigenvalues of Graphs (journal)with M.A. Fiol, W.H. Haemers and G. Perarnau Linear Algebra and Appl. 34 (2014), 11-21Algebraic Characterizations of Regularity Properties in Bipartite Graphs (journal)with C. Dalfó and M.A. Fiol European J. Combin. 34(8) (2013), 1223-1231Cospectral graphs and regular orthogonal matrices of level 2 (journal)with W.H. Haemers Electron. J. Comb. 19(3) (2012)Electron spin resonance study of single-walled carbon nanotubes (journal)with N. Ferrer-Anglada, V. Lloveras, J. Vidal-Gancedo and S. Roth Physica status solidi (b) 248 (2011), 2564-2567 Electron spin resonance on single-walled carbon nanotubes obtained from different sources (journal)with N. Ferrer-Anglada and S. Roth Physica status solidi (b) 247 (2010), 2823-2826 Education PhD in Mathematics from Tilburg University, The Netherlands (2015). Supervisors: Willem Haemers, Edwin van Dam. Get a copy of my PhD thesis, "Spectral Characterizations of Graphs", here. MSc in Advanced Mathematics and Mathematical Engineering from the Polytechnic University of Catalonia, Spain (2011). Supervisor: Miquel Àngel Fiol. Get a copy of my MSc thesis, "Some Applications of Linear Algebra in Spectral Graph Theory", here. BSc in Telecommunication Engineering from the Polytechnic University of Catalonia, Spain (2009).
Talks Treewidth and Combinatorial Optimization workshop - TACO day, 19 October 2020, Maastricht, The Netherlands (POSTPONED) 23rd Conference of the International Linear Algebra Society, 22-26 June 2020, Galway, Ireland (POSTPONED) Analytical and combintorial methods in quantum information, 9-13 September 2019, Edinburgh, Scotland |