An Association between Digraphs and Rings

Aleksandar Lipkovski, Hamza Daoub, Osama Shafah

Abstract


In the present article, we are going to highlight the relation between
different digraphs (cycles) of finite commutative ring $\mathbb{Z}_{n}$ for
a natural number $n$, under the map $(a,b)\mapsto (a+b,ab)$. The algorithm, which is used to perform the calculations, has been built in MATLAB.


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