Aida Abiad


Welcome to my homepage!

I am a tenured 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 Brussel, supported by a personal research FWO fellowship.


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a.abiad.monge at tue.nl / aida.abiad at ugent.be

Eindhoven University of Technology

Department of Mathematics and Computer Science

MF 4.106

Postbus 513

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, quantum information theory and finite geometry.

Algebraic Graph Theory group at TU/e

1-year postdoc vacancy in Algebraic Combinatorics TU/e

Maarten de Boeck (postdoc TU/e, 2020-2022)

Sjanne Zeijlemaker (PhD student TU/e, 2020-2024)

Antonina Khramova (PhD student TU/e, 2021-2025)

Robin Simoens (master student UGent, 2021-2022)

Amber Manders (master student TU/e, 2021-2022)

Nick Reiniers (master student TU/e, 2021-2022)

David Tuin (master student TU/e, 2021-2022)



Grants

NWO KLEIN-1 Grant (2021-2025)

FWO Senior Postdoctoral Fellowship (2020-2023)

BOF Junior Postdoctoral Fellowship (2018-2021)


Editorial

Associate editor Computational and Applied Mathematics


Publications and preprints


32. An infinite class of Neumaier graphs and non-existence results (arXiv)

(with W. Castryck, M. De Boeck, J. H. Koolen and S. Zeijlemaker)

31. On inertia and ratio type bounds for the k-independence number of a graph and their relationship (arXiv)

(with C. Dalfó, M.A. Fiol and S. Zeijlemaker)

30. Constructions of cospectral graphs with different zero forcing numbers (arXiv)

(with B. Brimkov, J. Breen, T.R. Cameron, H. Gupta, R. Villagran)

29. A bound for the p-domination number of a graph in terms of its eigenvalue multiplicities (arXiv)

(with S. Akbari, M.H. Fakharan and A. Mehdizadeh)

28. Characterizing and computing weight-equitable partitions of graphs (arXiv)

(with C. Hojny and S. Zeijlemaker)

27. Spectral upper bound on the quantum k-independence number of a graph (arXiv)

(with C. Elphick and P. Wocjan)

26. Eigenvalues, Smith normal form and determinantal ideals (arXiv)

(with C. Alfaro, K. Heysse and M.C. Vargas)

25. Optimization of eigenvalue bounds for the independence and chromatic number of graph powers (journal), Discrete Math. 345(3) (2022)

(with G. Coutinho, M.A. Fiol, B.D. Nogueira and S. Zeijlemaker)

24. Coloring the normalized Laplacian for oriented hypergraphs (journal), Linear Algebra and Appl. 629 (2021), 192-207

(with R. Mulas and D. Zhang)

23. The Kaledoiscopic Game of Life (journal), Complex Systems 31 (2022).

(with M. Geldmacher and A. Grigoriev)

22. Enumeration of cospectral and coinvariant graphs (journal), Applied Mathematics and Computation 408 (2021)

(with C. Alfaro)

21. Neumaier graphs with few eigenvalues (journal), Des. Codes Crypt. (2021)

(with B. De Bruyn, J. D'haeseleer and J. H.Koolen)

20. On the status sequences of trees (journal), Theoretical Computer Science 856 (2021), 110-120

(with B. Brimkov and A. Grigoriev)

19. Printed Circuit Boards Isomorphism: an Experimental Study (journal), Computers&Industrial Engineering 148 (2020)

(with A. Grigoriev and S. Niemzok)

18. On the complexity of solving a decision problem with flow-depending costs: the case of the IJsselmeer dikes (journal), Discrete Opt. 37 (2020)

(with S. Gribling, D. Lahaye, M. Mnich, G. Regts, L. Vena, G. Verweij and P. Zwaneveld)

17. A characterization and an application of weight-regular partitions of graphs (journal), Linear Algebra and Appl. 569 (2019), 164-174

16. Graph switching, 2-ranks, and graphical Hadamard matrices (journal), Discrete Math. 342(10) (2019), 2850-2855

(with S. Butler and W.H. Haemers)

15. On the k-independence number of graphs (journal), Discrete Math. 342(10) (2019), 2875-2885

(with G. Coutinho and M.A. Fiol)

14. Spectral bounds for the connectivity of regular graphs of given order (journal), Electron. J. Linear Algebra 34 (2018), 428-443

(with B. Brimkov, X. Martínez-Rivera, J. Zhang and S. O)

13. Proof of a conjecture of Graham and Lovász concerning unimodality of coefficients of the distance characteristic polynomial of a tree (journal), Electron. J. Linear Algebra 34 (2018), 373-380

(with G. Aalipour, Z. Berikkyzy, L. Hogben, F.H.J. Kenter, J.C.-H. Lin and M. Tait)

12. On the Wiener index, distance cospectrality and transmission regular graphs (journal), Discrete Appl Math. 230 (2017), 1-10

(with B. Brimkov, A. Erey, L. Leshock, X. Martínez-Rivera, S. O, S.-Y. Song and J. Williford)

11. An application of Hoffman graphs for spectral characterizations of graphs (journal), Electron. J. Comb. 24(1) (2017)

(with Q. Yang and J.H. Koolen)

10. Spectral bounds for the k-independence number of a graph (journal), Linear Algebra and Appl. 510 (2016), 160-170

(with S. Cioaba and M. Tait)

9. On the Distance Spectra of Graphs (journal), Linear Algebra and Appl. 497 (2016), 66-87

(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)

8. Switched symplectic graphs and their 2-ranks (journal), Des. Codes Crypt. 81(1) (2016), 35-41

(with W.H. Haemers)

7. Some Spectral and Quasi-Spectral Characterizations of Distance-Regular Graphs (journal), J. Combin. Theory Ser. A 143 (2016), 1-18

(with E.R. van Dam and M.A. Fiol)

6. Godsil-McKay switching and isomorphism (journal), Electron. J. Linear Algebra 28 (2015), 4-11

(with A.E. Brouwer and W.H. Haemers)

5. An Interlacing Approach for Bounding the Sum of Laplacian Eigenvalues of Graphs (journal), Linear Algebra and Appl. 34 (2014), 11-21

(with M.A. Fiol, W.H. Haemers and G. Perarnau)

4. Algebraic Characterizations of Regularity Properties in Bipartite Graphs (journal), European J. Combin. 34(8) (2013), 1223-1231

(with C. Dalfó and M.A. Fiol)

3. Cospectral graphs and regular orthogonal matrices of level 2 (journal), Electron. J. Comb. 19(3) (2012)

(with W.H. Haemers)

2. Electron spin resonance study of single-walled carbon nanotubes (journal), Physica status solidi (b) 248 (2011), 2564-2567

(with N. Ferrer-Anglada, V. Lloveras, J. Vidal-Gancedo and S. Roth)

1. Electron spin resonance on single-walled carbon nanotubes obtained from different sources (journal), Physica status solidi (b) 247 (2010), 2823-2826

(with N. Ferrer-Anglada and S. Roth)


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

Schloos Dagstuhl: Logic and Random Discrete Structures, 6-11 February 2022, Germany

AIM Virtual Workshop Graph and Hypergraph Spectral Theory, 6-11 December 2021, US

5th Workshop Algebraic Graph Theory and its Applications, 1-5 November 2021, Russia

MAPTHE (Matrix Analysis and Potential Theory) workshop, 26-30 July 2021, Vallclara, Spain

AIM Online Research Community: inverse eigenvalue problem for graphs, June 2021, US

International workshop on Spectral Graph Theory, 29 May 2021, China

CanaDAM, 25-28 May 2021

SIAM Conference on Applied Linear Algebra, 17-21 May 2021, New Orleans, US

General Mathematics Colloquium Korteweg-de Vries Institute for Mathematics, 12 May 2021, Amsterdam, The Netherlands

International Day of Mathematics, 15 March 2021, The Netherlands

4st Workshop Algebraic Graph Theory and its Applications, 1-7 March 2021, Russia

Quantum Software Research Center (QuSoft) CWI seminar, 15 January 2021, Amsterdam, The Netherlands

X Encontro Regional de Matemática Aplicada e Computational do Rio Grande de Janeiro, 1-3 December 2020, Brazil

3rd Workshop Algebraic Graph Theory and its Applications, 2-8 November 2020, Novosibirsk, Russia

Treewidth and Combinatorial Optimization workshop - TACO day, 19 October 2020, Maastricht, The Netherlands (POSTPONED)

International Conference on Mathematical Optimization Theory and Operations Research MOTOR 2020, 6-10 July 2020, Novosibirsk, Russia

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

22nd Conference of the International Linear Algebra Society, 8-12 July 2019, Rio de Janeiro, Brazil

Bled '19 Slovenian International Conference in Graph Theory, 23-29 June 2019, Bled, Slovenia

Summer school on finite geometry&friends, 17-21 June 2019, Brussels, Belgium

Congreso Bienal de la Real Sociedad Matemática Española, 4-8 February 2019, Santander, Spain

Ghent PhD Seminar Mathematics, 13 December 2018, Ghent, Belgium

Diamant symposium, 29-30 November 2018, Veenendaal, The Netherlands

Monthly Operations Research seminar at Maastricht University, The Netherlands

Misc

Dutch Combinatorics Network (DCN)

Interview by the Nieuw Archief voor Wiskunde

SPOR seminar at TU/e

EWBNL

Bits of Freedom

A unique Dutch windmill