Algebraic Graph Theory Seminar - Chris Godsil

Title: Covers of Complete Bipartite Graphs

Abstract:

I will discuss antipodal distance-regular covers of complete bipartite graphs $K_{n,n}$. The index of such a cover is at most $n$. Covers of index two correspond to Hadamard matrices, covers of index $n$ correspond to affine planes with a distinguished parallel class. My talk will focus on these examples, and their applications.