In this paper, we propose a new 3-D graphical representation of a DNA sequence and prove that it has two
properties: (1) there is no circuit in the graph; (2) there exists a one-to-one correspondence between a DNA sequence and
the graph. These properties guarantee it has nondegeneracy. Based on the 3-D graphical representation, we characterize a
DNA sequence by a 12-dimensional vector whose components are normalized ALE-indexes of the corresponding L/L
matrices. The proposed approach is tested by the phylogenetic analysis on three datasets, and the experimental assessment
demonstrates its efficiency.
Keywords: ALE-index, DNA, graphical representation, nondegeneracy, phylogenetic analysis.
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