Herman De Beukelaer
Dries Van Dyck
House of Graphs
Spherical quadrangles ...
Equi - equilateral embedding of polyhedra
Critical Pt-free graphs
MTF and Ramsey graphs
Our research group belongs to the
Applied Mathematics & Computer science
of derailing switch.
We study search and generation algorithms on combinatorial
objects like graphs, incidence geometries en subsets of these
objects with interesting combinatorial properties.
Quite often these algorithms require a recursive traversal of a
tree-like search space using various pruning heuristics. Specific
pruning methods exploit the inherent symmetries of the objects
(automorphisms, equivalences, unique labelings) or are based on
mathematical properties that are specific to the problem at hand.
On the one hand we try to design, improve and study these
combinatorial algorithms, but on the other hand we also apply these
algorithms to real mathematical problems, hoping to generate new
mathematical results in combinatorial theory and combinatorial
geometry in particular.
We are also interested in other algorithmic aspects of graph
theory. We have done research on optimal algoritms for
data-exchange on networks of parallel processors, efficient reduction of cubical Yutsis-graphs and distance related
properties of rotation graphs for binary coupling trees.
This research domain has applications in representation theory, more
specifically in finding optimal expressions for 3nj-coefficients, and
also in mathematical biology, in the computation of similarity
measures for dendrograms.