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Compatibility of pa...
Compatibility of partitions with trees, hierarchies, and split systems
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- Hellmuth, Marc (författare)
- Stockholms universitet,Matematiska institutionen
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Schaller, David (författare)
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Stadler, Peter F. (författare)
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(creator_code:org_t)
- Elsevier BV, 2022
- 2022
- Engelska.
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Ingår i: Discrete Applied Mathematics. - : Elsevier BV. - 0166-218X .- 1872-6771. ; 314, s. 265-283
- Relaterad länk:
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https://doi.org/10.1...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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 phylogenetic 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 and a given partition are compatible. The latter problem becomes NP-complete but fixed-parameter tractable if a system of partitions is considered instead of a single partition. In this context, we also explore the close relationship of the concept of compatibility and so-called Fitch maps.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Hierarchy
- Split system
- Phylogenetic tree
- Partition
- Compatibility
- Recognition algorithm
- Fitch map
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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