Aida Abiad

Tongersestraat 53, office A2.25
6211 LM Maastricht
The Netherlands

    I am an assistant professor in the Operations Research Group, QE department, at Maastricht University. In 2015 I defended my PhD Thesis in Mathematics at Tilburg University under the supervision of Willem Haemers and Edwin van Dam. Prior to moving to The Netherlands, I completed a bachelor in Telecommunications Engineering and a master in Applied Mathematics at the Polytechnic University of Catalonia, Spain. 

    My main research interests are in linear algebra, combinatorial optimization, graph theory and combinatorics. I am particularly interested in algebraic combinatorics.

Papers and preprints

    Listed in order of completion.
[17] A. Abiad, G. Coutinho and M.A. Fiol
On the k-independence number of graphs
Submitted (2018): pdf

[16] A. Abiad, S. Butler and W.H. Haemers
Graph switching, 2-ranks, and graphical Hadamard matrices
Submitted (2018): pdf 
    [15] A. Abiad, S. Gribling, D. Lahaye, M. Mnich, G. Regts, L. Vena, G. Verweij and P. Zwaneveld
    On the complexity of solving a decision problem with flow-depending costs: the case of the IJsselmeer dikes
    Submitted (2018): pdf

    [14] A. Abiad, B. Brimkov, X. Martínez-Rivera, J. Zhang and S. O
    Spectral bounds for the connectivity of regular graphs of given order
    Submitted (2017): pdf

    [13] A. Abiad, G. Aalipour, Z. Berikkyzy, L. Hogben, F.H.J. Kenter, J.C.-H. Lin and M. Tait
    Proof of a conjecture of Graham and Lovász concerning unimodality of coefficients of the distance characteristic polynomial of a tree
    Submitted (2017): pdf

    [12] A. Abiad, B. Brimkov, A. Erey, L. Leshock, X. Martínez-Rivera, S. O, S.-Y. Song and J. Williford
    On the Wiener index, distance cospectrality and transmission regular graphs
    Discrete Appl Math. 230, 1-10 (2017)pdf

    [11] Q. Yang, A. Abiad and J.H. Koolen
    An application of Hoffman graphs for spectral characterizations of graphs
    Electron. J. Comb. 24(1) P12 (2017): pdf

    [10] A. Abiad, S.M Cioaba and M. Tait
    Spectral bounds for the k-independence number of a graph
    Linear Algebra and Appl. 510, 160-170 (2016): pdf

    [9] G. Aalipour, A. Abiad, Z. Berikkyzy, J. Cummings, J. De Silva, W. Gaok, K. Heysse, L. Hogben, F.H.J. Kentery, J.C.-H. Lin, and M. Tait
    On the Distance Spectra of Graphs
    Linear Algebra and Appl. 497, 66-87 (2016): pdf

    [8] A. Abiad and W.H. Haemers
    Switched symplectic graphs and their 2-ranks
    Des. Codes Crypt. 81(1), 35-41 (2016) : pdf

    [7] A. Abiad, E.R. van Dam and M.A. Fiol
    Some Spectral and Quasi-Spectral Characterizations of Distance-Regular Graphs
    J. Combin. Theory Ser. A 143, 1-18 (2016): pdf

    [6] A. Abiad, A.E. Brouwer and W.H. Haemers
    Godsil-McKay switching and isomorphism
    Electron. J. Linear Algebra 28, 4-11 (2015): pdf

    [5] A. Abiad, M.A. Fiol, W.H. Haemers and G. Perarnau
    An Interlacing Approach for Bounding the Sum of Laplacian Eigenvalues of Graphs
    Linear Algebra and Appl. 34, 11-21 (2014): pdf

    [4] A. Abiad, C. Dalfó and M.A. Fiol
    Algebraic Characterizations of Regularity Properties in Bipartite Graphs
    European J. Combin. 34(8), 1223-1231 (2013) : pdf

    [3] A. Abiad and W.H. Haemers
    Cospectral graphs and regular orthogonal matrices of level 2
    Electron. J. Comb. 19(3), P13 (2012): pdf

    [2] A. Abiad, N. Ferrer-Anglada, V. Lloveras, J. Vidal-Gancedo and S. Roth
    Electron spin resonance study of single-walled carbon nanotubes
    physica status solidi (b) 248, 2564-2567 (2011): pdf

    [1] A. Abiad, N. Ferrer-Anglada and S. Roth
    Electron spin resonance on single-walled carbon nanotubes obtained from different sources
    physica status solidi (b) 247, 2823-2826 (2010): pdf



    PhD in Mathematics from Tilburg University, The Netherlands. Supervisor: Willem Haemers. Get a copy of my PhD thesis, Spectral Characterizations of Graphs, here.

    M.Sc. in Advanced Mathematics and Mathematical Engineering from the Polytechnic University of Catalonia, Spain. 
    Supervisor: Miquel Àngel Fiol. Get a copy of my M.Sc. thesis, Some Applications of Linear Algebra in Spectral Graph Theory, here.

    Bachelor's degree in Telecommunication Engineering from ETSETB (Escola Tècnica Superior d'Enginyeria de Telecomunicacions), school of Polytechnic University of Catalonia, Spain.



    September 2015 - Present: Lecturer at Maastricht University.
    • Supervision of BSc and MSc theses
    • Optimization
    • Analysis I
    • Operations Management
    • Business Intelligence
    • QM3
    • Management of Operations and Product Development
    • Modelling and Solver Technology
    • Allocations and Algorithms

    September 2011 - September 2017
    : Lecturer at the Open University of Catalonia (online university), UOC.
    • Probability and Statistics
    • Mathematics for Telecommunications

    August 2012 - March 2015:
    Teacher assistant at the Department of Econometrics and Operation Research, Tilburg University, The Netherlands.
    • Linear Algebra
    • Mathematical Analysis 1

    February 2010 - December 2011: Part-time Lecturer at the EETAC (Castelldefels School of Telecommunications and Aerospace Engineering), Polytechnic University of Catalonia.
    • Linear Algebra and Geometry
    • Mathematics for Telecommunications 





G. Aalipour, Z. Berikkyzy, B. Brimkov, A.E. Brouwer, S. Butler, S. Cioaba, G. Coutinho, C. Dalfó, E. van Dam, A. Erey,  M.A. Fiol, W.H. Haemers, L. Hogben, F.H.J. Kenter, J. Koolen, J.C.-H. Lin, Suil O, G. Perarnau, S.-Y. SungM. Tait, J. Williford



Fragment from Lockhart's Lament"The first thing to understand is that mathematics is an art. The difference between math and the other arts, such as music and painting, is that our culture does not recognize it as such. Everyone understands that poets, painters, and musicians create works of art, and are expressing themselves in word, image, and sound. In fact, our society is rather generous when it comes to creative expression; architects, chefs, and even television directors are considered to be working artists. So why not mathematicians? Part of the problem is that nobody has the faintest idea what it is that mathematicians do. The common perception seems to be that mathematicians are somehow connected with science -perhaps they help the scientists with their formulas, or feed big numbers into computers for some reason or other. There is no question that if the world had to be divided into the "poetic dreamers" and the "rational thinkers" most people would place mathematicians in the latter category. Nevertheless, the fact is that there is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics. It is every bit as mind blowing as cosmology or physics (mathematicians conceived of black holes long before astronomers actually found any), and allows more freedom of expression than poetry, art, or music (which depend heavily on properties of the physical universe). Mathematics is the purest of the arts, as well as the most misunderstood."