We study the edge-Wiener index of the rank-n skeleton networks associated with the level-4 Sierpinski triangle. Recursive relations are derived for the count of each pattern, and an explicit formula is obtained for the edge-Wiener index of the level-4 Sierpinski skeleton networks. Our result shows that the finite-pattern method remains effective for exact edge-distance computations on higher-order self-similar networks.
Wang et al. (Mon,) studied this question.