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Network Biology, 2022, 12(1): 1-10
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Article

A study of the total graph in genetic code algebra

Birinchi Kumar Boruah, Tazid Ali
Department of Mathematics, Dibrugarh University, Assam 786004, India

Received 20 September 2021;Accepted 30 October 2021;Published 1 March 2022
IAEES

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.



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