There is no (95,40,12,20) strongly regular graph
Abstract
We show that there is no (95,40,12,20) strongly regular graph and, consequently, there is no (96,45,24,18) strongly regular graph, no two-graph on 96 vertices, and no partial geometry pg(5,9,3). The main idea of the result is based on the star complement technique and requires a small amount of computation.
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