Displaying similar documents to “On restricted unitary Cayley graphs and symplectic transformations modulo n .”

Symmetry of iteration graphs

Walter Carlip, Martina Mincheva (2008)

Czechoslovak Mathematical Journal

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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 .

Kaprekar triples.

Iannucci, Douglas E., Foster, Bertrum (2005)

Journal of Integer Sequences [electronic only]

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

Yangjiang Wei, Jizhu Nan, Gaohua Tang (2011)

Czechoslovak Mathematical Journal

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The article studies the cubic mapping graph Γ ( n ) of n [ 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 1 ¯ and 0 ¯ in Γ ( n ) are found. Moreover, complete characterizations in terms of n are given in which Γ 2 ( n ) is semiregular, where Γ 2 ( n ) is induced by all the zero-divisors of n [ i ] .

On perfect totient numbers.

Iannucci, Douglas E., Deng, Moujie, Cohen, Graeme L. (2003)

Journal of Integer Sequences [electronic only]

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