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We present a bijection from planar reduced trees to planar rooted hypertrees,which extends Knuth's rotation correspondence between planar binary trees andplanar rooted trees. The operadic counterpart of the new bijection isexplained. Related to this, the space of planar reduced forests is endowed witha combinatorial Hopf algebra structure. The corresponding structure on thespace of planar rooted hyperforests is also described.

On an extension of Knuth's rotation correspondence to reduced planar trees