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I'm Nestor Mermoz Thea. I have two definition over the Directed strong pseudoforest and Directed weak pseudoforest that I don't really well understand.

Directed weak pseudoforest: A directed weak pseudoforest is a digraph, in which every weakly connected component contains at most one directed cycle. The class of all directed weak pseudoforests is named DWPF.

Directed strong pseudoforest: A directed strong pseudoforest is a digraph, in which every strongly connected component contains at most one directed cycle, i.e. contains exactly one directed cycle. The class of all directed strong pseudoforests is named DSPF

I have the following questions:

  1. What ist the differences between Directed strong pseudoforest and Directed weak pseudoforest?
  2. can a pseudoforest have more than one cycle?
  3. what mean component in the definition.
  4. can I have an Example of Directed weak pseudoforest and Directed strong pseudoforest

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