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Do triplets have enough information to construct the multi-labeled phylogenetic tree?

Reza Hassanzadeh1, Changiz Eslahchi2, Wing-Kin Sung3

  • 1Department of Mathematics, Shahid Beheshti University, G.C., Tehran, Iran.

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Inferring evolutionary history using multi-labeled phylogenetic trees (MUL trees) is complex. This study finds that using only rooted triplets to construct the smallest MUL tree (SMRT problem) is biologically inappropriate, proposing new methods.

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Area of Science:

  • Evolutionary Biology
  • Phylogenetics
  • Computational Biology

Background:

  • Multi-labeled phylogenetic trees (MUL trees) model the evolutionary history of species, including polyploids.
  • Inferring MUL trees involves the Smallest MUL Tree Consistent with Rooted Triplets (SMRT) problem, which is NP-hard.
  • Existing exact algorithms for SMRT have high computational complexity (O(7n)).

Purpose of the Study:

  • To evaluate the biological appropriateness of the SMRT problem for inferring MUL trees.
  • To develop and test a heuristic algorithm for MUL tree inference.
  • To identify more biologically relevant problems for inferring evolutionary history.

Main Methods:

  • Developed a heuristic algorithm named MTRT (Minimum Triplets to Reconstruct Tree).
  • Applied MTRT to both real and simulated biological datasets.
  • Compared MTRT results with inferences based solely on rooted triplets.

Main Results:

  • The SMRT problem is deemed biologically inappropriate for inferring MUL trees.
  • The MTRT algorithm demonstrated that rooted triplets alone lack sufficient information to accurately infer MUL trees.
  • Inference based on minimum duplications using only triplet data is insufficient.

Conclusions:

  • Inferring MUL trees solely from rooted triplets is biologically unsuitable.
  • The MTRT heuristic provides insights into the limitations of triplet-based inference.
  • New, biologically relevant problems for MUL tree inference are proposed.