Abstract

A DNA sequence is a finite sequence of letters in the 4-letter DNA alphabet σ = {A, C, G, T}. A set of condensed matrices was constructed to represent DNA sequences based on the sieve ratios of trinucleotide in sequence. Then, leading eigenvalues of these matrices were computed and considered as invariants for the DNA sequences. Similarity and dissimilarity analysis based on condensed matrices are given for eleven exon-1 genes of βglobins of eleven species.

Keywords: dna sequences, condensed matrix, eigenvalue