The Sackin and Colless tree balance indices decompose into two elementary shape statistics, Na and Nb, which are themselves new imbalance and balance indices with fully characterized extremal trees.
https://arxiv.org/abs/2502.12854
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Revealing the building blocks of tree balance: fundamental units of the Sackin and Colless Indices
The Sackin and Colless tree balance indices decompose into two elementary shape statistics, Na and Nb, which are themselves new imbalance and balance indices with fully characterized extremal trees.