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論文資訊
- 類型:已發表論文
- 日期:2022-03-29
摘要
The question whether a partition P and a hierarchy H or a tree-like split system S are compatible naturally arises in a wide range of classification problems. In the setting of 系統發育 trees, one asks whether the sets of P coincide with leaf sets of connected components obtained by deleting some edges from the tree T that represents H or S, respectively. More generally, we ask whether a refinement T* of T exists such that T* and P are compatible in this sense. The latter is closely related to the question as to whether there exists a tree at all that is compatible with P. We report several characterizations for (refinements of) hierarchies and split systems that are compatible with (systems of) partitions. In addition, we provide a linear-time algorithm to check whether refinements of trees a
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