engleski

New strongly regular graphs from orthogonal groups $O^+(6, 2)$ and $O^-(6, 2)$

The main subject of the talk is construction of strongly regular graphs from groups. In this talk, a method for constructing transitive regular graphs from finite groups will be explained. Using this method, we constructed all strongly regular graphs, with at most 600 vertices, admitting a transitive action of the orthogonal group $O^+(6, 2)$ or $O^-(6, 2)$. Consequently, we proved the existence of strongly regular graphs with parameters (216, 40, 4, 8) and (540, 187, 58, 68). In this talk the details about the obtained results will be given.

strongly regular graphs ; orthogonal groups

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