Consistency of orthology and paralogy constraints in the presence of gene transfers

Mark Jones; Manuel Lafond; Celine Scornavacca

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arXiv · 1705.01240

Consistency of orthology and paralogy constraints in the presence of gene transfers

Mark Jones·Manuel Lafond·Celine Scornavacca

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Abstract

Orthology and paralogy relations are often inferred by methods based on gene similarity, which usually yield a graph depicting the relationships between gene pairs. Such relation graphs are known to frequently contain errors, as they cannot be explained via a gene tree that both contains the depicted orthologs/paralogs, and that is consistent with a species tree $S$. This idea of detecting errors through inconsistency with a species tree has mostly been studied in the presence of speciation and duplication events only. In this work, we ask: could the given set of relations be consistent if we allow lateral gene transfers in the evolutionary model? We formalize this question and provide a variety of algorithmic results regarding the underlying problems. Namely, we show that deciding if a relation graph $R$ is consistent with a given species network $N$ is NP-hard, and that it is W[1]-hard under the parameter "minimum number of transfers". However, we present an FPT algorithm based on the degree of the $DS$-tree associated with $R$. We also study analogous problems in the case that the transfer highways on a species tree are unknown.

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Mark Jones, Manuel Lafond, Celine Scornavacca. 2017-05-03. Consistency of orthology and paralogy constraints in the presence of gene transfers. https://arxiv.org/abs/1705.01240

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