聖塔非研究所

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2023-02-01 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 Quasi best match graphs (qBMGs) are a hereditary class of directed, properly vertex colored graphs. They arise naturally in 數學 系統發育s as a generalization of best match graphs, which formal…

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  • 類型:已發表論文
  • 日期:2023-02-01

摘要

Quasi-best match graphs (qBMGs) are a hereditary class of directed, properly vertex -colored graphs. They arise naturally in 數學 系統發育s as a generalization of best match graphs, which formalize the notion of 演化ary closest relatedness of genes (vertices) in multiple 物種 (vertex colors). They are explained by rooted trees whose leaves correspond to vertices. In contrast to BMGs, qBMGs represent only best matches at a restricted 系統發育 distance. We provide characterizations of qBMGs that give rise to polynomial-time recognition algorithms and identify the BMGs as the qBMGs that are color-sink-free. Furthermore, two-colored qBMGs are characterized as directed graphs satisfying three simple local conditions, two of which have appeared previously, namely bi-transitivity in the sense of Das et al. (20

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