A graph G = (V, E) with p vertices and q edges is said to be square sum graph, if there exists a bijection mapping f : V (G) → {0, 1, 2,. .. , p − 1} such that the induced function f * : E(G) → N defined by f * (uv) = (f (u)) 2 + (f (v)) 2 , for every uv ∈ E(G) is injective. A graph with square sum labeling is called square sum graph. In this paper we prove that restricted square graph, splitting graph and shadow graph of B n,n are square sum. We also prove that restricted total, restricted middle and degree splitting graph of B n,n , duplication of vertex and arbitrary super subdivision of B n,n are square sum graph.