“…now define the weight of each arc from V i to V j as 1, so that for every arc from V i to V j , total weight of the arcs of graph G m is, In this way the graphical representation of Amino Acid (aa) sequence can give us an idea about the distribution of chemical properties in them.Now the directed multi graph can be drawn through adjacency matrix. We can get its corresponding (8X8) adjacent matrix M for each pair of vertices as mentioned below in Table 10, which gives us 64 dimensional vectors in row order say R, where R=(w(1,1),w(1,2),.....w (1,8),....,w(8,1),…w (8,8)). Table 4.…”