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Prüfer codes

Task number: 4237

Find the spanning trees of the complete graph on \( n \) vertices with the following Prüfer code:

  • Variant

    22222222 (i.e. \(n = 10\)).

  • Variant

    \(1234\cdots(n-3)(n-2)\).

  • Variant

    12121212 (again \(n = 10\), or generalize).

Difficulty level: Easy task (using definitions and simple reasoning)
Reasoning task
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