From the W-hierarchy to XNLP: Classes of Fixed Parameter Intractability

Hans L. Bodlaender

doi:10.1007/978-3-030-96731-4_2

From the W-hierarchy to XNLP: Classes of Fixed Parameter Intractability

Hans L. Bodlaender^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

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Abstract

In this short survey, a number of old and new notions from parameterized complexity are discussed. We start with looking at the W-hierarchy, including the classes W[1], W[2], W[P]. Then, a recent development where problems are shown to be complete for simultaneously non-deterministic time of the form f(k) n^c and space of the form f(k) log n, is discussed. Some consequences and other notions are briefly explored.

Original language	English
Title of host publication	WALCOM: Algorithms and Computation
Subtitle of host publication	16th International Conference and Workshops, WALCOM 2022, Jember, Indonesia, March 24–26, 2022, Proceedings
Editors	Petra Mutzel, Md. Saidur Rahman, Slamin
Place of Publication	Cham
Publisher	Springer
Pages	15-25
Number of pages	11
Edition	1
ISBN (Electronic)	978-3-030-96731-4
ISBN (Print)	978-3-030-96730-7
DOIs	https://doi.org/10.1007/978-3-030-96731-4_2
Publication status	Published - 22 Feb 2022
Event	16th International Conference and Workshops on Algorithms and Computation, WALCOM 2022 - Jember, Indonesia Duration: 24 Mar 2022 → 26 Mar 2022

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer
Volume	13174
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	16th International Conference and Workshops on Algorithms and Computation, WALCOM 2022
Country/Territory	Indonesia
City	Jember
Period	24/03/22 → 26/03/22

Keywords

Parameterized complexity
W-hierarchy
XNLP
XP

Access to Document

10.1007/978-3-030-96731-4_2

Bodlaender2022_Chapter_FromTheW-hierarchyToXNLPFinal published version, 237 KBLicence: Taverne

Cite this

Bodlaender, H. L. (2022). From the W-hierarchy to XNLP: Classes of Fixed Parameter Intractability. In P. Mutzel, M. S. Rahman, & Slamin (Eds.), WALCOM: Algorithms and Computation: 16th International Conference and Workshops, WALCOM 2022, Jember, Indonesia, March 24–26, 2022, Proceedings (1 ed., pp. 15-25). (Lecture Notes in Computer Science; Vol. 13174 ). Springer. https://doi.org/10.1007/978-3-030-96731-4_2

Bodlaender, Hans L. / From the W-hierarchy to XNLP : Classes of Fixed Parameter Intractability. WALCOM: Algorithms and Computation: 16th International Conference and Workshops, WALCOM 2022, Jember, Indonesia, March 24–26, 2022, Proceedings. editor / Petra Mutzel ; Md. Saidur Rahman ; Slamin. 1. ed. Cham : Springer, 2022. pp. 15-25 (Lecture Notes in Computer Science).

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keywords = "Parameterized complexity, W-hierarchy, XNLP, XP",

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Bodlaender, HL 2022, From the W-hierarchy to XNLP: Classes of Fixed Parameter Intractability. in P Mutzel, MS Rahman & Slamin (eds), WALCOM: Algorithms and Computation: 16th International Conference and Workshops, WALCOM 2022, Jember, Indonesia, March 24–26, 2022, Proceedings. 1 edn, Lecture Notes in Computer Science, vol. 13174 , Springer, Cham, pp. 15-25, 16th International Conference and Workshops on Algorithms and Computation, WALCOM 2022, Jember, Indonesia, 24/03/22. https://doi.org/10.1007/978-3-030-96731-4_2

From the W-hierarchy to XNLP: Classes of Fixed Parameter Intractability. / Bodlaender, Hans L.
WALCOM: Algorithms and Computation: 16th International Conference and Workshops, WALCOM 2022, Jember, Indonesia, March 24–26, 2022, Proceedings. ed. / Petra Mutzel; Md. Saidur Rahman; Slamin. 1. ed. Cham: Springer, 2022. p. 15-25 (Lecture Notes in Computer Science; Vol. 13174 ).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

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Bodlaender HL. From the W-hierarchy to XNLP: Classes of Fixed Parameter Intractability. In Mutzel P, Rahman MS, Slamin, editors, WALCOM: Algorithms and Computation: 16th International Conference and Workshops, WALCOM 2022, Jember, Indonesia, March 24–26, 2022, Proceedings. 1 ed. Cham: Springer. 2022. p. 15-25. (Lecture Notes in Computer Science). doi: 10.1007/978-3-030-96731-4_2

From the W-hierarchy to XNLP: Classes of Fixed Parameter Intractability

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