<div class="csl-bib-body">
<div class="csl-entry">Mansouri, M. (2020). <i>Combinatorial properties of phylogenetic networks</i> [Dissertation, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2020.75903</div>
</div>
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dc.identifier.uri
https://doi.org/10.34726/hss.2020.75903
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/14963
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dc.description.abstract
This thesis is concerned with combinatorial properties of some subclasses of rooted and unrooted phylogenetic networks. We consider several phylogenetic networks and provide enumeration formulas (exact and asymptotic) for them with a given number of leaves and also analyze some of their characterizing parameters. We extend the work of Semple and Steel to rooted and unrooted level 2 networks and can show with generating functions that the studied parameters are asymptotically normally distributed. Furthermore, tree-child and normal networks are treated. Asymptotic and exact formulas are derived, which solves some open problems listed in the literature. Finally, we extend the investigation to general networks.
en
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
phylogenetic networks
en
dc.subject
asymptotic enumeration
en
dc.subject
limiting distributions
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dc.title
Combinatorial properties of phylogenetic networks
en
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2020.75903
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dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Marefatollah Mansouri
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dc.publisher.place
Wien
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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dc.type.qualificationlevel
Doctoral
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dc.identifier.libraryid
AC15670835
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dc.description.numberOfPages
162
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dc.thesistype
Dissertation
de
dc.thesistype
Dissertation
en
dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
tuw.advisor.staffStatus
staff
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item.openaccessfulltext
Open Access
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item.openairecristype
http://purl.org/coar/resource_type/c_db06
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item.grantfulltext
open
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item.mimetype
application/pdf
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item.languageiso639-1
en
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item.openairetype
doctoral thesis
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item.fulltext
with Fulltext
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item.cerifentitytype
Publications
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crisitem.author.dept
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie