Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Algorithmicaarrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Algorithmica
Article
Data sources: UnpayWall
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Algorithmica
Article . 1990 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1990
Data sources: zbMATH Open
DBLP
Article . 2018
Data sources: DBLP
MPG.PuRe
Report . 1986
Data sources: MPG.PuRe
MPG.PuRe
Article . 1990
Data sources: MPG.PuRe
versions View all 8 versions
addClaim

Dynamic fractional cascading

Authors: Mehlhorn, Kurt; Näher, Stefan;

Dynamic fractional cascading

Abstract

Let U be an ordered set and let \(G=(V,E)\) be an undirected graph. For each \(v\in V\) there is a set C(v)\(\subseteq U\), the catalogue of v, and for every edge \(e\in E\) there is a range \(R(e)=[7(e),r(e)]\), which is a closed interval in U. \(N=\sum_{v\in V}| C(v)|\) is the total size of the catalogues. The goal is to organize the catalogues in a data structure so that deletion, insertions and queries can be supported efficiently. Chazelle and Guibas introduced fractional cascading as a general data-structuring technique for approaching this kind of problems; however, they provided efficient \(O(n+\log N)\) algorithm for queries only under some restrictions on the graph G. The authors give general algorithms that support queries in time \(0(\log (N+| E|)+n \log \log (N+| E|))\) and deletions and insertions in O(log log(N\(+| E|))\). Detailed analysis and some applications are also given.

Country
Germany
Related Organizations
Keywords

ddc:004, Data structures, Computing methodologies and applications, Analysis of algorithms and problem complexity, fractional cascading, amortized complexity, dynamic data structures, 004, linear lists, computational geometry, Searching and sorting

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    83
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
83
Top 10%
Top 1%
Top 10%
bronze