A study of the total graph in genetic code algebra

Abstract

Suppose R be a commutative ring and Z(R) its set of zero-divisors. Total graph is the (undirected) graph where set of all elements of R is taken as the vertex set and two vertices say x and y (x not equals to y) in R are adjacent if and only if their sum is zero-divisor. Genetic code is the blueprint for protein synthesis. In this paper we discuss total graph in the genetic code algebra.

Keywords

• genetic code
• amino acid
• mutation
• total graph