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The existence of srg(99,14,1,2) has been a question of interest for several decades to the moment. In this paper, we consider the structural properties in general for the family of strongly regular graphs with parameters λ=1 and μ=2. In particular, we establish the lower bound for the number of hexagons, and by doing that, we show the connection between the existence of the aforementioned graph and the number of its hexagons.
Reimbay Reimbayev (Sat,) studied this question.