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Enumeration of fixed points of an involution on β(1, 0)-trees

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Figure

Fig. 1 All β (1, 0)-trees on 4 nodes.
Fig. 3 A schematic description of the involution h. In the indecomposable case, a “+1”next to a node has to be interpreted as increasing the label of that node by 1.
Fig. 5 A useful property of h implying immediately that h is an involution.
Fig. 7 All fixed points of h on at most 6 nodes.
+7

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