The genetic code is a series of codons that stores genetic information about protein molecule formation. The identity graph of a group G is a graph in which the vertex set is the set of all elements of the group and two vertices in G are adjacent if a.b = e, where e is the group's identity element. Let H be a subgroup of G then the identity graph drawn for the subgroup H is known as the identity special subgraph of G (special identity subgraph of G). In this study, we looked at the special identity graph in the genetic code algebra. Different measures of centrality have been thoroughly discussed in our current study. Aside from this investigation, research is being conducted on the correlation coefficients between different measures of centrality, as well as the clustering coefficient, degree of distribution, and skewness.
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