“A perfect coloring of a graph G with m color (a perfect mcoloring) is a surjective mapping P : V (G) → {1, 2, . . . , m} such thateach vertex of color i has exactly mij neighbors of color j, for all i, j,where M = (mij )i,j=1,2,. ,m is the corresponding matrix. In this paper,we classify perfect 2-colorings of the bicubic graphs with order up to 12”. (2025) Punjab University Journal of Mathematics, 52(8), pp. 17–25. Available at: https://pujm.pu.edu.pk/index.php/pujm/article/view/364 (Accessed: 29 June 2025).