The digraph of the square mapping on gaussian integers
Nawaphon Maingam · NRCT Data Center · 2010
In this work, we investigate the structure of the digraph associated with the square mapping on the ring of Gaussian integers by using the exponent of the unit group modulo. The formula for the xed points of digraph is established. Some connections of the lengths of cycles with the exponent of the unit group modulo are presented. Furthermore, we study the maximum distance from the cycle on each component.