In the Combinatorial Optimization group at Eindhoven University ofîechnology (The Netherlands), there is a vacancy for a 4 year PhD-position within the NWO Vidi project "Finding network structure beyond the spectrum: new frontiers and new methods". This PhD position is supervised by Aida Abiad (https://aidaabiad.win.tue.nl/
The preferring starting date is September 2023.PROJECT DESCRIPTION
This project seeks to deduce structural properties of a graph from the graph spectrum. Properties such as connectedness, diameter and regularity, are known to be related to the spectrum of a graph. Nevertheless, for most relevant graph structures the problem remains open, and the existing spectral tools are not sufficient, indicating that genuinely new methods are needed. In this project we will tackle this challenge by strengthening and unifying spectral methods and combining them with tools from other fields like combinatorial optimization, finite geometry and group theory.
The successful candidate for this PhD position will work under the supervision of Aida Abiad in the group Combinatorial Optimization (https://www.tue.nl/en/
) of the department of Mathematics and Computer Science of TU/e. 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 (course support and supervision of students).