Beyond NP-completeness for problems of bounded width: Hardness for the W hierarchy

Hans L. Bodlaender*, Michael R. Fellows, Michael T. Hallett

*Corresponding author for this work

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

Abstract

The parameterized computational complexity of a collection of well-known problems including: BANDWIDTH, PRECEDENCE CONSTRAINED MULTIPROCESSOR SCHEDULING, LONGEST COMMON SUBSEQUENCE, DNA PHYSICAL MAPPING (or INTERVALIZING COLORED GRAPHS), PERFECT PHYLOGENY (or TRIANGULATING COLORED GRAPHS), COLORED CUTWIDTH, and FEASIBLE REGISTER ASSIGNMENT is explored. It is shown that these problems are hard for various levels of the W hierarchy. In the case of PRECEDENCE CONSTRAINED MULTIPROCESSOR SCHEDULING the results can be interpreted as providing substantial new complexity lower bounds on the outcome of [OPEN 8] of the Garey and Johnson list.

Original languageEnglish
Title of host publicationConference Proceedings of the Annual ACM Symposium on Theory of Computing
Place of PublicationNew York, NY, United States
PublisherAssociation for Computing Machinery
Pages449-458
Number of pages10
ISBN (Print)0897916638
Publication statusPublished - 1 Jan 1994
EventProceedings of the 26th Annual ACM Symposium on the Theory of Computing - Montreal, Que, Can, United Kingdom
Duration: 23 May 199425 May 1994

Conference

ConferenceProceedings of the 26th Annual ACM Symposium on the Theory of Computing
Country/TerritoryUnited Kingdom
CityMontreal, Que, Can
Period23/05/9425/05/94

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