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[数论] 将第 $i$ 个顶点连接到 $i^2\bmod n$

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hbghlyj Posted 2024-11-4 20:41 |Read mode
$i\in\{0,\dots,n\}$
将第 $i$ 个顶点连接到 $i^2\bmod n$
有什么规律?
例如$n=104$:
  1. GraphPlot[Table[i -> Mod[i^2, 104], {i, 0, 104}]]
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 Author| hbghlyj Posted 2024-11-4 21:51
Number of cycles of function f(x) = x^2 mod n.

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