Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Fuchs, M. | en_US |
dc.contributor.author | Lee, C. -K. | en_US |
dc.contributor.author | Yu, G. -R. | en_US |
dc.date.accessioned | 2017-04-21T06:56:30Z | - |
dc.date.available | 2017-04-21T06:56:30Z | - |
dc.date.issued | 2016-04-04 | en_US |
dc.identifier.issn | 0304-3975 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1016/j.tcs.2016.02.007 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/133423 | - |
dc.description.abstract | In this paper, we consider the number of 2-protected nodes in random digital trees. Results for the mean and variance of this number for tries have been obtained by Gaither et al. (2012) [11] and Gaither and Ward (2013) [10] and for the mean in digital search trees by Du and Prodinger (2012) [5]. In this short note, we show that these previous results and extensions such as the variance in digital search trees and limit laws in both cases can be derived in a systematic way by recent approaches of Fuchs et al. (2012; 2014) [8, 15] and Fuchs and Lee (2014) [9]. Interestingly, the results for the moments we obtain by our approach are quite different from the previous ones and contain divergent series which have values by appealing to the theory of Abel summability. We also show that our tools apply to PATRICIA tries, for which the number of 2-protected nodes has not been investigated so far. (C) 2016 Elsevier B.V. All rights reserved. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Data structures | en_US |
dc.subject | Digital trees | en_US |
dc.subject | Analytic combinatorics | en_US |
dc.subject | Moments | en_US |
dc.subject | Limit theorems | en_US |
dc.subject | Abel summability | en_US |
dc.title | On 2-protected nodes in random digital trees | en_US |
dc.identifier.doi | 10.1016/j.tcs.2016.02.007 | en_US |
dc.identifier.journal | THEORETICAL COMPUTER SCIENCE | en_US |
dc.citation.volume | 622 | en_US |
dc.citation.spage | 111 | en_US |
dc.citation.epage | 122 | en_US |
dc.contributor.department | 應用數學系 | zh_TW |
dc.contributor.department | Department of Applied Mathematics | en_US |
dc.identifier.wosnumber | WOS:000371939200008 | en_US |
Appears in Collections: | Articles |