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Generating randomized roundings with cardinality constraints and derandomizations

  • Max-Planck-Institut fur Informatik

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

19 Citations (Scopus)

Abstract

We provide a general method to generate randomized roundings that satisfy cardinality constraints. Our approach is different from the one taken by Srinivasan (FOCS 2001) and Gandhi et al. (FOCS 2002) for one global constraint and the bipartite edge weight rounding problem. Also for these special cases, our approach is the first that can be derandomized. For the bipartite edge weight rounding problem, in addition, we gain an Õ(|V|) factor run-time improvement for generating the randomized solution. We also improve the current best result on the general problem of derandomizing randomized roundings. Here we obtain a simple O(mn log n) time algorithm that works in the RAM model for arbitrary matrices with entries in ℚ≥0. This improves over the O(mn 2 log(mn)) time solution of Srivastav and Stangier.

Original languageEnglish
Title of host publicationSTACS 2006
Subtitle of host publication23rd Annual Symposium on Theoretical Aspects of Computer Science, Proceedings
Pages571-583
Number of pages13
DOIs
Publication statusPublished - 10 Jul 2006
Externally publishedYes
EventSTACS 2006: 23rd Annual Symposium on Theoretical Aspects of Computer Science, Proceedings - Marseille, France
Duration: 23 Feb 200625 Feb 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3884 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceSTACS 2006: 23rd Annual Symposium on Theoretical Aspects of Computer Science, Proceedings
Country/TerritoryFrance
CityMarseille
Period23/02/0625/02/06

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