Algebraic Graph Theory Seminar - Chris Godsil

Title: Linear Covers

Abstract:

Many interesting classes of graphs are Cayley graphs for the additive group of a vector space (the cube, for example).  One consequence of this is that such graphs can be described geometrically, or in terms of codes; these alternate descriptions can provide useful information about the graphs, and they can lead to interesting questions in geometry and coding theory. I will survey some of this material, with a focus on drackns - distance-regular antipodal covers of complete graphs