As was indicated, Lemma 2 is false. Here is a counterexample to lemma 2. Note that it is not a counterexample to the conjecture, since it has two sinks.
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CSI of Charles University
Counterexample for the proof
As was indicated, Lemma 2 is false. Here is a counterexample to lemma 2. Note that it is not a counterexample to the conjecture, since it has two sinks.