In fact, all (seven) known primitive triangle-free strongly regular graphs are actual *subgraphs* of the Higman-Sims graph (which btw was first constructed by Dale Mesner). A Moore graph of degree 57 would of course break this mold.
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CSI of Charles University
Higman-Sims Graph
In fact, all (seven) known primitive triangle-free strongly regular graphs are actual *subgraphs* of the Higman-Sims graph (which btw was first constructed by Dale Mesner). A Moore graph of degree 57 would of course break this mold.