An Association between Digraphs and Rings

Aleksandar Lipkovski, Hamza Daoub, Osama Shafah


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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