1. Symmetry of iteration graphs
- Creator:
- Carlip, Walter and Mincheva, Martina
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- digraph, iteration digrap, quadratic map, cycle, and tree
- Language:
- English
- Description:
- We examine iteration graphs of the squaring function on the rings $\mathbb{Z}/n\mathbb{Z}$ when $n = 2^{k}p$, for $p$ a Fermat prime. We describe several invariants associated to these graphs and use them to prove that the graphs are not symmetric when $k=3$ and when $k\ge 5$ and are symmetric when $k = 4$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public