Not Conway's 99-Graph Problem

Abstract

Conway's 99-graph problem is the second problem amongst the five 1000\$ 2017 open problems set. Four out of the five remain unsolved to this day, including the 99-graph problem. In this paper we quote Conway's definition of the problem and give an alternative interpretation of it, which we humorously name "not Conway's 99-graph problem". We solve the alternative interpretation completely.