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A Note on the Sparse Complete Sets
Fortune Steven
1978
KeywordComputer Science Technical Report
Language英语
English AbstractHartmanis and Berman have conjectured that all NP-complete sets are polynomial time isomorphic. A consequence of the conjecture is that there are no sparse NP-complete sets. We show that the existence of an NP-complete set whose complement is sparse implies P = NP. We also show that if there is a polynomial time reduction with sparse range to a PTAPE-complete set, then P=PTAPE. Keywords: reduction, polynomial time, nondeterministic polynomial time, complete sets, sparsity.
Content Type其他
URIhttp://ir.iscas.ac.cn/handle/311060/1244
Collection中国科学院软件研究所
Recommended Citation
GB/T 7714
Fortune Steven. A Note on the Sparse Complete Sets. 1978-01-01.
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