Least resolved trees for two-colored best match graphs
Journal of graph algorithms and applications, Tome 25 (2021) no. 1, pp. 397-416
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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.
Keywords:
best matches, least resolved trees, recognition algorithm, polynomial-time algorithm
@article{JGAA_2021_25_1_a17,
author = {David Schaller and Manuela Gei{\ss} and Marc Hellmuth and Peter Stadler},
title = {Least resolved trees for two-colored best match graphs},
journal = {Journal of graph algorithms and applications},
pages = {397--416},
year = {2021},
volume = {25},
number = {1},
doi = {10.7155/jgaa.00564},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00564/}
}
TY - JOUR AU - David Schaller AU - Manuela Geiß AU - Marc Hellmuth AU - Peter Stadler TI - Least resolved trees for two-colored best match graphs JO - Journal of graph algorithms and applications PY - 2021 SP - 397 EP - 416 VL - 25 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00564/ DO - 10.7155/jgaa.00564 LA - en ID - JGAA_2021_25_1_a17 ER -
%0 Journal Article %A David Schaller %A Manuela Geiß %A Marc Hellmuth %A Peter Stadler %T Least resolved trees for two-colored best match graphs %J Journal of graph algorithms and applications %D 2021 %P 397-416 %V 25 %N 1 %U http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00564/ %R 10.7155/jgaa.00564 %G en %F JGAA_2021_25_1_a17
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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