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  • Let H and T be two trees over the same leaf set, such that H is a non-binary tree and T is a binary tree that refines H. Given an internal node h in H, a cut on T via H and h, denoted CutH,h(T), is the minimal connected subtree of T that contains {MH???T(c):c???ChH(h)}, and we rename each leaf x by Le(Tx).We further extend this to a tuple of trees I = (T1,...,Tn) by CutH,h(I)???(CutH,h(T1),???,Cut
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