Faster Greedy Consensus Trees
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We consider the tree consensus problem, an important problem in bioinformatics. Gawrychowski, Landau, Sung, and Weimann [ICALP'18] devise a greedy algorithm that runs in time O(n^1.5log n) based on micro-macro decomposition. We give a faster algorithm that runs in time O(nlog n). Our key ingredient is a bipartition compatibility criteria based on amortized-time leaf counters.
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