Cyclotomic Strongly Regular Graphs

Qing Xiang (University of Delaware, USA)

We will talk about cyclotomic strongly regular graphs ${\rm Cay}(F_q, D)$ in a broad sense (that is, $D$ is a union of cosets of a subgroup of the multiplicative group $F_q^*$ of $F_q$, not just a single coset of a subgroup of $F_q^*$). Several new infinite classes of strongly regular graphs are obtained. This is a joint work with Tao Feng.