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題名 Counting Phylogenetic Networks with Few Reticulation Vertices: Galled and Reticulation-Visible Networks
作者 符麥克
Fuchs, Michael;Chang, Yu-Sheng
貢獻者 應數系
關鍵詞 Phylogenetic network; Galled network; Reticulation-visible network; Enumeration; Component graph method
日期 2024-07
上傳時間 28-Oct-2024 13:15:41 (UTC+8)
摘要 We give exact and asymptotic counting results for the number of galled networks and reticulation-visible networks with few reticulation vertices. Our results are obtained with the component graph method, which was introduced by L. Zhang and his coauthors, and generating function techniques. For galled networks, we in addition use analytic combinatorics. Moreover, in an appendix, we consider maximally reticulated reticulation-visible networks and derive their number, too.
關聯 Bulletin of Mathematical Biology, Vol.86, No.7, article number 76
資料類型 article
DOI https://doi.org/10.1007/s11538-024-01309-w
dc.contributor 應數系
dc.creator (作者) 符麥克
dc.creator (作者) Fuchs, Michael;Chang, Yu-Sheng
dc.date (日期) 2024-07
dc.date.accessioned 28-Oct-2024 13:15:41 (UTC+8)-
dc.date.available 28-Oct-2024 13:15:41 (UTC+8)-
dc.date.issued (上傳時間) 28-Oct-2024 13:15:41 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/154144-
dc.description.abstract (摘要) We give exact and asymptotic counting results for the number of galled networks and reticulation-visible networks with few reticulation vertices. Our results are obtained with the component graph method, which was introduced by L. Zhang and his coauthors, and generating function techniques. For galled networks, we in addition use analytic combinatorics. Moreover, in an appendix, we consider maximally reticulated reticulation-visible networks and derive their number, too.
dc.format.extent 106 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Bulletin of Mathematical Biology, Vol.86, No.7, article number 76
dc.subject (關鍵詞) Phylogenetic network; Galled network; Reticulation-visible network; Enumeration; Component graph method
dc.title (題名) Counting Phylogenetic Networks with Few Reticulation Vertices: Galled and Reticulation-Visible Networks
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1007/s11538-024-01309-w
dc.doi.uri (DOI) https://doi.org/10.1007/s11538-024-01309-w