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A tutorial on the balanced minimum evolution problem

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  • Catanzaro, Daniele
  • Frohn, Martin
  • Gascuel, Olivier
  • Pesenti, Raffaele

Abstract

The Balanced Minimum Evolution Problem (BMEP) is an APX-hard network design problem that consists of finding a minimum length unrooted binary tree (also called a phylogeny) having as a leaf-set a given set of molecular sequences. The optimal solution to the BMEP (i.e., the optimal phylogeny) encodes the hierarchical evolutionary relationships of the input sequences. This information is crucial for a multitude of research fields, ranging from systematics to medical research, passing through drug discovery, epidemiology, ecology, biodiversity assessment and population dynamics. In this article, we introduce the reader to the problem and present the current state-of-the-art; we include the most important achievements reached so far and the challenges that still remain to be addressed.

Suggested Citation

  • Catanzaro, Daniele & Frohn, Martin & Gascuel, Olivier & Pesenti, Raffaele, 2022. "A tutorial on the balanced minimum evolution problem," European Journal of Operational Research, Elsevier, vol. 300(1), pages 1-19.
    • Handle: RePEc:eee:ejores:v:300:y:2022:i:1:p:1-19
    DOI: 10.1016/j.ejor.2021.08.004
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    References listed on IDEAS

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    1. Catanzaro, Daniele & Frohn, Martin & Gascuel, Olivier & Pesenti, Raffaele, 2023. "A Massively Parallel Exact Solution Algorithm for the Balanced Minimum Evolution Problem," LIDAM Discussion Papers CORE 2023001, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Gasparin, Andrea & Camerota Verdù, Federico Julian & Catanzaro, Daniele, 2023. "An evolution strategy approach for the Balanced Minimum Evolution Problem," LIDAM Discussion Papers CORE 2023021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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