Spearman’s correlation coefficient formula has been used as a conglomerate or quantities the direction and strength of alliance between two classified variables widely used in various fields of science and research. The survey of the Spearman correlation coefficient correlated with graph theory by way of adjacency matrix for standard graphs in the Spearman correlation calculations in the case of the binary variable. The outcomes of adjacency matrix for graphs and litact graphs can be used for a non-monotonic relationship between two variables, in lieu of the direction and strength of a linear affinity among the two variables, are determined by Pearson's correlation.