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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/139044

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Title:	A note on the independence number, domination number and related parameters of random binary search trees and Random Recursive Trees
Authors:	符麥克 Fuchs, Michael Holmgren, Cecilia Mitsche, Dieter Neininger, Ralph
Contributors:	應數系
Keywords:	Independence number;Domination number;Clique cover number;Random recursive trees;Random binary search trees;Fringe trees;Central limit laws
Date:	2021-03
Issue Date:	2022-02-10 14:59:02 (UTC+8)
Abstract:	We identify the mean growth of the independence number of random binary search trees and random recursive trees and show normal fluctuations around their means. Similarly we also show normal limit laws for the domination number and variations of it for these two cases of random tree models. Our results are an application of a recent general theorem of Holmgren and Janson on fringe trees in these two random tree models.
Relation:	Discrete Appl. Math., Vol.292, pp.64-71
Data Type:	article
DOI link:	https://doi.org/10.1016/j.dam.2020.12.013
DOI:	10.1016/j.dam.2020.12.013
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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