The rose graph, denoted by R(C_n), n>=3 constructed by a cycle graph C_n with n isolated vertices that connect every two vertices in the cycle graph with one isolated vertex. The rose barbell graph, denoted by B_{R(C_n)} is a simple graph formed by connecting two rose graphs R(C_n) by edges v_1,v^{'}_1 as a bridge. In this paper, we determined the partition dimension of the rose graph and its barbell
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