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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/154144

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/154144

Title:	Counting Phylogenetic Networks with Few Reticulation Vertices: Galled and Reticulation-Visible Networks
Authors:	符麥克 Fuchs, Michael;Chang, Yu-Sheng
Contributors:	應數系
Keywords:	Phylogenetic network;Galled network;Reticulation-visible network;Enumeration;Component graph method
Date:	2024-07
Issue Date:	2024-10-28 13:15:41 (UTC+8)
Abstract:	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.
Relation:	Bulletin of Mathematical Biology, Vol.86, No.7, article number 76
Data Type:	article
DOI 連結:	https://doi.org/10.1007/s11538-024-01309-w
DOI:	10.1007/s11538-024-01309-w
Appears in Collections:	[應用數學系] 期刊論文

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