relation between sylowility degree and sylow graph

Let g be a finite group. the sylowility degree is given by prsy(g) = |{(x,y)∈g×g|⟨x,y⟩≤syg,∀x,y∈g}| |g|2 and the sylow graph γg(v, e) = γsy is defined by the set of all vertices of e(γsy) = {{x, y} | ⟨x, y⟩ ≤sy g}. in this seminar, we establish some properties of the sylow graph defined by group d2n and study the relation between γsy and prsy(g).