Proof of the 40-year old Bandelt-Dress conjecture on the maximum quartet distance between phylogenetic trees (and an interesting connection to independence testing). arxiv.org/abs/2608.03542
The maximum quartet distance between phylogenetic trees
The quartet distance counts the four-leaf subsets on which two binary phylogenetic trees display different topologies. We prove that its maximum over trees on $n$ leaves is $(2/3+o(1))\binom{n}{4}$, r...
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