My research interests are in combinatorial optimization problems arising in information science, network design and mechanism design. In particular, I am interested in developing algorithms that have good theoretical properties, using techniques from mathematical programming such as linear programming and the primal-dual method. Besides developing algorithms with theoretical guarantees, I am interested in studying what these guarantees mean in practice, and comparing these algorithms to approaches which may not necessarily have theoretical guarantees.
You can listen to a short podcast about one of my recent papershere.
Implementation: Experimental comparison of two approximation algorithms for the maximum asymmetric traveling salesman problem. (Master/strong Bachelor)
Theory: Improving our understanding of the subtour LP relaxation for the traveling salesman problem. Can we extend the results in this paper to triangle free 2-matchings? Can we project the polyhedron for graphical 2-matchings to variables defined on the original graph? (Master/Ph.D.)
My last name is "van Zuylen". "Van" means "of, coming from" and is a very common prefix in Dutch last names. It is ignored when alphabetizing, so my name should be alphabetized under "Z", not under "v".