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Abstract
Evolution is a fundamental part of life of every species on earth. Evolutionary history of species can be visualized by the phylogenetic trees which in turn can be constructed with the help of dissimilarities among the DNA (de-oxy ribonucleic acid) sequences of the species. In this work, a mathematical approach based on graph theoretic concept has been reported to find the distance matrices of DNA sequences of species. These fourth order matrices are then used to find the dissimilarities among biological sequences by using Euclidean distance metric.The proposed approach has been implemented on the 11-real-life DNA sequences collected from the NCBI database and the published literature.The approach reported works on two parameters of sequences namely positioning of nucleotide and stack interactionand their combined effects has been taken into consideration for finding dissimilarities among DNA sequences. At last, an UPGMA (unweighted pair-group method using arithmetic.