Fig. 16
An illustration of appending a rooted tree \(T'\) to a bi-rooted tree \(T''\) to compute a vector \(\pmb {w}\in \text {W}_{\text {end}}^{(h)}({\mathtt{a}}, d , m )\) from the frequency vectors \(\pmb {w}'=\pmb {f}(T'[+2])\in \text {W}_{\text {inl}}^{(0)}({\mathtt{a}}, d -1, m')\) of a rooted tree \(T'\) and \(\pmb {w}'' =\pmb {f}(T''[+1]) \in \text {W}_{\text {end}}^{(h-1)}(\mathtt{b}, d'', m'')\) of a bi-rooted tree \(T''\)