Least resolved trees for two-colored best match graphs
Journal of graph algorithms and applications, Tome 25 (2021) no. 1, pp. 397-416 Cet article a éte moissonné depuis la source Journal of Graph Algorythms and Applications website

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In phylogenetic combinatorics, 2-colored best match graphs (2-BMGs) form a subclass of sink-free bi-transitive digraphs that describe the most closely related genes between a pair of species in an evolutionary scenario. They are explained by a unique least resolved tree (LRT). In this paper, the concept of support vertices is introduced and used to derive an $O(|V|+|E|\log^2|V|)$-time algorithm that recognizes a 2-BMG and constructs its LRT. The approach can be extended to allow the recognition of binary-explainable 2-BMGs with the same complexity. An empirical comparison emphasizes the efficiency of the new algorithm.
DOI : 10.7155/jgaa.00564
Keywords: best matches, least resolved trees, recognition algorithm, polynomial-time algorithm
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     title = {Least resolved trees for two-colored best match graphs},
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David Schaller; Manuela Geiß; Marc Hellmuth; Peter Stadler. Least resolved trees for two-colored best match graphs. Journal of graph algorithms and applications, Tome 25 (2021) no. 1, pp. 397-416. doi: 10.7155/jgaa.00564

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