Graphical Representation of DNA Sequence with Degeneracy Tends to Zero

Abstract

In this paper we present a novel 2�D graphical representation of DNA sequences in the first quadrant Cartesian coordinate system. This representation has been mathematically proved to have degeneracy tends to zero, i.e., the length of a circuit tends to zero. Given any point considered in a DNA sequence, the number of A, T , G ,a ndC from the starting point could be calculated based upon an iterative comparison method. Furthermore, this paper gives a application to illustrate the efficiemcy of the method. Index Terms—DNA Sequence,Ggraphical Rrepresentations, Degeneracy