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The minimum evolution problem is hard: a link between tree inference and graph clustering problems.

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This summary is machine-generated.

The computational complexity of constructing phylogenetic trees using Rzhetsky and Nei's minimum evolution (ME) method is NP-complete. This finding suggests the method is likely computationally intractable for large datasets.

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Area of Science:

  • Computational Biology
  • Phylogenetics
  • Graph Theory

Background:

  • Distance methods are effective for building large phylogenetic trees.
  • The computational complexity of Rzhetsky and Nei's minimum evolution (ME) method for phylogenetic tree construction from distance matrices was previously undetermined.

Purpose of the Study:

  • To determine the computational complexity of Rzhetsky and Nei's minimum evolution (ME) problem.
  • To establish the tractability of ME-based phylogenetic tree construction.

Main Methods:

  • Linked the minimum evolution (ME) problem to the quasi-clique decomposition problem in graph theory.
  • Leveraged the recently established NP-completeness of the quasi-clique decomposition problem.

Main Results:

  • Demonstrated that the Rzhetsky and Nei minimum evolution (ME) problem is NP-complete.
  • This implies the ME problem is likely computationally intractable for large-scale phylogenetic analyses.

Conclusions:

  • The computational intractability of the ME problem has significant implications for phylogenetic tree construction.
  • The established link between ME and graph clustering may foster new interdisciplinary research avenues.