Evenly Divisible Composite Pseudo Intrinsic Vertex-Magic Graphs With Factorizable Property

In this paper, we introduce the new concept of fuzzy intrinsic vertex-magic in cycle and path graphs and based on this, we deal with the graphs which satisfy the conditions of evenly divisible composite pseudo intrinsic vertex-magic by the presence of a mock constant value. Also, we check whether the evenly divisible composite pseudo intrinsic graphs are fuzzy factorizable perfect intrinsic vertex-magic when looking at graphs order and size. We investigate the above properties on some graphs like C_4, 3-pan graph, K_2, 2, and star graphs.