Anton Koval

On the local structure of a hypothetical strongly regular graph with parameters (99,14,1,2)

Conway asked whether there is a graph on 99 vertices in which every edge lies in a unique triangle and every non-edge is the diagonal of a unique quadrilateral, i.e. a strongly regular graph srg(99,14,1,2). This paper does NOT decide that question. It proves structural restrictions on such a graph and records, each wit...