The cubic mapping graph for the ring of Gaussian integers modulo $n$

Title:

The cubic mapping graph for the ring of Gaussian integers modulo $n$

Creator:

Wei, Yangjiang, Nan, Jizhu, and Tang, Gaohua

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:32b19b13-470f-45ed-a830-8de287bdab96
uuid:32b19b13-470f-45ed-a830-8de287bdab96

Subject:

Gaussian integers modulo $n$, cubic mapping graph, fixed point, and semiregularity

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The article studies the cubic mapping graph $\Gamma (n)$ of $\mathbb {Z}_n[{\rm i}]$, the ring of Gaussian integers modulo $n$. For each positive integer $n>1$, the number of fixed points and the in-degree of the elements $\overline 1$ and $\overline 0$ in $\Gamma (n)$ are found. Moreover, complete characterizations in terms of $n$ are given in which $\Gamma _{2}(n)$ is semiregular, where $\Gamma _{2}(n)$ is induced by all the zero-divisors of $\mathbb {Z}_n[{\rm i}]$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1023-1036

Source:

Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:4

Harvested from:

CDK

Metadata only:

false