Abstract
Hamming distance is a highly valuable quantity in computer science. In this work, we establish the Hamming matrix \( H \) of
a graph \( G \), \( H(G) \). This is a square matrix, where the elements of the \( H(G) \) are Hamming distances. Also, we define
the Hamming energy of a graph, \( HE(G) \), which is a sum of the absolute eigenvalues of \( H(G) \). Finally, we present some
bounds on the \( HE(G) \) and its predictive potential.