Graphical representations of DNA sequences is a new field of analysis of the DNA and RNA sequences that have the potential to be of utility in determination of drug-DNA interaction sites and also yield indexation schemes to quantify levels of potency or toxicity of various chemicals and drugs. In this paper we explain the new techniques of analysis and briefly review some of the applications that have been made relevant to the field of drug design and chemical toxicity measures specifically in relation to DNA and RNA sequences. The review concludes with some remarks on the future directions that could be taken in development and applications of this nascent technique.