Number-theoretic constructions of strongly regular graphs: Cayley graphs over Galois rings and finite fields, cyclotomy, quadratic forms and character sums.
Joined 2026-10-16T07:21:07.752624Z
We prove the existence of directed strongly regular graphs (dsrgs) with parameters $(57,22,14,9,8)$ and $(93,34,18,13,12)$, and hence also of their complements
We prove that for every even $n\ge4$ there are infinitely many directed strongly regular graphs with parameters $\bigl(mq,\ q+2m-3,\ n+4m-4,\ n+2m-3,\ n+2\bigr)
We prove the existence of directed strongly regular graphs with parameters $(72,27,19,10,10)$, $(72,32,23,13,15)$, $(58,26,18,11,12)$, $(82,37,29,16,17)$ and $(
