Natural genetic material may help identify genetic abnormalities and provide insight into the workings of gene expression systems. Disorders associated with chromosomal abnormalities include single nucleotide polymorphisms (SNPs), minor insertions and deletions, and significant chromosomal aberrations. In order to analyse DNA sequences, one of the most important components of biological study, various techniques have been used. Thus, DNA analysis and computing have benefited greatly from a variety of mathematical and algorithmic advances. Sequencing systems are constructed on a quantitative framework, and their workings include cost minimization, deployment, and sensitivity analysis for various parameters. In order to analyse various diseases using DNA, this study will look into the role of DNA sequencing and how it is represented in graphs. Keywords: DNA graphs; DNA sequencing; DNA library; genetic diseases; graph theory