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Symmetry of iteration graphs

Walter CarlipMartina Mincheva — 2008

Czechoslovak Mathematical Journal

We examine iteration graphs of the squaring function on the rings / n 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 5 and are symmetric when k = 4 .

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