Parameterized problems complete for nondeterministic FPT time and logarithmic space
Let XNLP be the class of parameterized problems such that an instance of size n with parameter k can be solved nondeterministically in time f(k)nO(1) and space f(k)log(n) (for some computable function f). We give a wide variety of XNLP-complete problems, such as List Coloring and Precoloring Extens...
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| Vydáno v: | Information and computation Ročník 300; s. 105195 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier Inc
01.10.2024
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| ISSN: | 0890-5401 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | Let XNLP be the class of parameterized problems such that an instance of size n with parameter k can be solved nondeterministically in time f(k)nO(1) and space f(k)log(n) (for some computable function f). We give a wide variety of XNLP-complete problems, such as List Coloring and Precoloring Extension with pathwidth as parameter, Scheduling of Jobs with Precedence Constraints, with both number of machines and partial order width as parameter, Bandwidth and variants of Weighted CNF-Satisfiability. In particular, this implies that all these problems are W[t]-hard for all t. |
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| ISSN: | 0890-5401 |
| DOI: | 10.1016/j.ic.2024.105195 |