Graphs and codes produced by a new method for dividing a natural number by two

03/03/2020

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by   M. Zeynali Azim, et al.

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In this paper, we introduce a new method which we call it MZ-method, for dividing a natural number x by two and then we use graph as a model to show MZ-algorithm. Applying (recursively) k-times of the MZ-method for the number x, produces a graph with unique structure that is denoted by G_k(x). We investigate the structure of G_k(x). Also from the natural number x and graph G_k(x) we produce codes which are important and applicable in the information security and cryptography.