Welcome to my homepage! I am an tenured assistant professor at Maastricht University, where I am part of the Operations Research Group. I am also a research fellow at the Department of Mathematics: Analysis, Logic and Discrete Mathematics at Ghent University, supported by a personal 3-year BOF fellowship. I work primarily in algebraic graph theory. My research interests also include combinatorial optimization and finite geometry. ## Papers and preprints
Listed in order of completion.
[16] 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[15] A. Abiad, G. Coutinho and M.A. Fiol On the k-independence number of graphsDiscrete Math., to appear: pdfSpectral bounds for the connectivity of regular graphs of given orderElectron. J. Linear Algebra 34 :, 428-443(2018) 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 treeElectron. J. Linear Algebra 34 , 373-380(2018)[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 graphsDiscrete Appl Math. 230 (2017), 1-10[11] Q. Yang, A. Abiad and J.H. Koolen An application of Hoffman graphs for spectral characterizations of graphsElectron. J. Comb. 24(1) (2017), P12[10] A. Abiad, S.M Cioaba and M. Tait Spectral bounds for the k-independence number of a graphLinear Algebra and Appl. 510 (2016), 160-170[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 GraphsLinear Algebra and Appl. 497 (2016), 66-87[8] A. Abiad and W.H. Haemers Switched symplectic graphs and their 2-ranksDes. Codes Crypt. 81(1) (2016), 35-41[7] A. Abiad, E.R. van Dam and M.A. Fiol Some Spectral and Quasi-Spectral Characterizations of Distance-Regular GraphsJ. Combin. Theory
Ser. A 143 (2016), 1-18[6] A. Abiad, A.E. Brouwer and W.H. Haemers Godsil-McKay switching and isomorphismElectron. J. Linear Algebra 28 (2015), 4-11[5] A. Abiad, M.A. Fiol, W.H. Haemers and G. Perarnau An Interlacing Approach for Bounding the Sum of Laplacian Eigenvalues of GraphsLinear Algebra and Appl. 34 (2014), 11-21[4] A. Abiad, C. Dalfó and M.A. Fiol Algebraic Characterizations of Regularity Properties in Bipartite GraphsEuropean J. Combin. 34(8) (2013), 1223-1231[3] A. Abiad and W.H. Haemers Cospectral graphs and regular orthogonal matrices of level 2Electron. J. Comb. 19(3) (2012), P13[2] A. Abiad, N. Ferrer-Anglada, V. Lloveras, J. Vidal-Gancedo and S. Roth Electron spin resonance study of single-walled carbon nanotubesphysica status solidi (b) 248 (2011), 2564-2567[1] A. Abiad, N. Ferrer-Anglada and S. Roth Electron spin resonance on single-walled carbon nanotubes obtained from different sourcesphysica status solidi (b) 247 (2010), 2823-2826
## AcademicsPhD 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).
## Teaching- Supervision of BSc and MSc theses
- Optimization
- Analysis I
- Operations Management (coordination)
- Business Intelligence
- QM3
- Management of Operations and Product Development
- Modelling and Solver Technology (coordination)
- Allocations and Algorithms
- Probability and Statistics
- Mathematics for Telecommunications
- Linear Algebra
- Mathematical Analysis 1
- Linear Algebra and Geometry
- Mathematics for Telecommunications
September 2015 - Present: Assistant professor at Maastricht University, The Netherlands.: Lecturer at the Open University of Catalonia (UOC), Spain. Teacher assistant at the Department of Econometrics and Operation Research, Tilburg University, The Netherlands.February 2010 - December 2011: Part-time Lecturer at Castelldefels School of Telecommunications and Aerospace Engineering, Polytechnic University of Catalonia, Spain.
## Conferences
## Coauthors## 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, A. Grigoriev, W.H. Haemers, L. Hogben, F.H.J. Kenter, J. Koolen, J.C.-H. Lin, X. Martínez, Suil O, G. Perarnau, S.-Y. Sung, M. Tait, J. Williford
## PersonalFragment 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." |