Characterization of protein primary sequences based on partial ordering

In this paper, we present a new approach to characterize protein sequences. Based on orderings of the 20 natural amino acids which reflect some of their physico-chemical properties, we construct an augmented Hasse matrix for each protein sequence. Furthermore, the normalized leading eigenvalues of these matrices are computed and considered as invariants for the protein sequences. Finally, we make a comparison for the similarity/diversity of nine different protein sequences.