In this work we report a simple way to measure the similarity between two nucleotide sequences by using graph theory and information theory. This method reported allows for theoretical comparisons of naturally occurring nucleotide sequences.

In the original publication of the article, the y axis labels present in Figs. 1a and 2a are incorrect. The correct Figs. 1a and 2a are provided here.

In this paper, we propose two four-base related 2D curves of DNA primary sequences and their corresponding single-base related 2D curves. The constructions of these graphical curves are based on the assignments of individual base to four different sinusoidal functions; then by connecting all these points on these four sinusoidal functions, we can get the F-B curves; similarly, by connecting the points on each of the four sinusoidal functions, we get the single-base related 2D curves. The proposed 2D curves are (...) all strictly non degenerate. Then, a 8-component characteristic vector is constructed to compare similarity among DNA sequences from different species based on a normalized geometrical centers of the proposed curves. As examples, we examine similarity among the coding sequences of the first exon of beta-globin gene from eleven species, similarity of cDNA sequences of beta-globin gene from eight species, and similarity of the whole mitochondrial genomes of 18 eutherian mammals. The experimental results well demonstrate the effectiveness of the proposed method. (shrink)