The cubic mapping graph for the ring of Gaussian integers modulo <Emphasis Type="Italic">n</Emphasis> |
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| Authors: | Email author" target="_blank">Yangjiang?WeiEmail author Jizhu?Nan Gaohua?Tang |
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| Institution: | 1.School of Mathematical Sciences,Dalian University of Technology,Dalian,P.R. China;2.School of Mathematical Sciences,Guangxi Teachers Education University,Nanning,P.R. China |
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| Abstract: | The article studies the cubic mapping graph Γ(n) of ℤ
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]\overline 1 and `0]\overline 0 in Γ(n) are found. Moreover, complete characterizations in terms of n are given in which Γ2(n) is semiregular, where Γ2(n) is induced by all the zero-divisors of ℤ
n
i]. |
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| Keywords: | |
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