Speaker: Jorik Jooken, KU Leuven Kulak Title: On vertex-girth-regular graphs: (Non-)existence, bounds and enumeration Abstract: A vertex-girth-regular vgr(v,k,g,lambda)-graph is a k-regular graph of girth g and order v in which every vertex belongs to exactly lambda cycles of length g.

Date and Time: Wednesday, February 11, 3.40 pm Atlantic time Speaker: JD Nir, Oakland University Title: The Second Common Neighbourhood Conjecture Abstract: The Second Common Neighbourhood Conjecture is a question about the structure of shared neighbours in a graph. At

Speaker: Andrea Burgess, University of New Brunswick Title: Colourings of combinatorial designs Abstract: A combinatorial design is a pair $(V,\mathcal{B})$ where $V$ is a nonempty set of points, and $\mathcal{B}$ is a collection of subsets of $\mathcal{B}$, called blocks.  A