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The complexity of the Kth largest subset problem and related problems

Abstract:
We show that the Kth largest subset problem and the Kth largest m-tuple problem are in PP and hard for PP under polynomial-time Turing reductions. Several problems from the literature were previously shown NP-hard via reductions from those two problems, and by our main result they become PP-hard as well. We also provide complementary PP-upper bounds for some of them.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.ipl.2015.09.015

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
ORCID:
0000-0003-4173-6877


Publisher:
Elsevier
Journal:
Information Processing Letters More from this journal
Volume:
116
Issue:
2
Pages:
111-115
Publication date:
2015-10-09
Acceptance date:
2015-09-30
DOI:
ISSN:
0020-0190


Language:
English
Keywords:
Pubs id:
pubs:581559
UUID:
uuid:ed38e596-8482-478c-958a-b5747f1b2150
Local pid:
pubs:581559
Source identifiers:
581559
Deposit date:
2016-01-10
ARK identifier:

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