This project seeks to investigate structural, spectral and geometric properties of a certain graph classes, like Neumaier graphs, Deza graphs or more generally, edge-regular graphs. In this project we will tackle this goal by using spectral methods and combining them with tools from other fields like combinatorial optimization and finite geometry.The successful candidate for this PhD position will work under the supervision of Bart de Bruyn and Aida Abiad in the a dynamic group in geometry and discrete mathematics (
https://geometry.ugent.be/) of the Department of Mathematics: Algebra and Geometry at Ghent University. Your responsibilities include to perform scientific research on the topic of the above-mentioned project and to publish your results at international conferences and in international journals. For a small percentage of your time, you will be asked to assist with educational tasks at Ghent University (course support).