Graph theory, a captivating branch of Mathematics is the study of graphs which are mathematical structures used as tools to represent the pairwise relationship between objects. The graph theoretical approach is used in solving problems which have a fairly natural graph network structure. AUM Block square sum labeling for graphs like Path, Tadpole graph, Cycle cactus, Friendship Comb graphs and Snake graphs is studied. Appropriate Illustrations are given. Also, Python program is designed to simplify the process of computing the block labels. The Python program coding link is included along...