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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/148722

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/148722

Title:	Asymptotic normality for the size of graph tries built from M-ary tree labelings
Authors:	符麥克 Fuchs, Michael;Yu, Tsan-Cheng
Contributors:	應數系
Keywords:	Tries;Graph tries;Space requirement;Central limit theorem;Method of moments
Date:	2023-08
Issue Date:	2023-12-13 14:16:22 (UTC+8)
Abstract:	Graph tries are a new and interesting data structure proposed by Jacquet in 2014. They generalize the classical trie data structure which has found many applications in computer science and is one of the most popular data structure on words. For his generalization, Jacquet considered the size (or space requirement) and derived an asymptotic expansion for the mean and the variance when graph tries are built from n independently chosen random labelings of a rooted M-ary tree. Moreover, he conjectured a central limit theorem for the (suitably normalized) size as the number of labelings tends to infinity. In this paper, we verify this conjecture with the method of moments.
Relation:	Theoretical Computer Science, Vol.968, 114011
Data Type:	article
DOI 連結:	https://doi.org/10.1016/j.tcs.2023.114011
DOI:	10.1016/j.tcs.2023.114011
Appears in Collections:	[應用數學系] 期刊論文

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