Building on a recent breakthrough by Ogihara, we resolve a conjecture made by Hartmanis in 1978 regarding the (non)existence of sparse sets complete for P under logspace many one reductions. We show that if there exists a sparse hard set for P under logspace many one reductions, then P=LOGSPACE. We
Sparse complete sets for NP: Solution of a conjecture of Berman and Hartmanis
β Scribed by Stephen R. Mahaney
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 942 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0022-0000
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
By generalizing the construction of complete sets of mutually orthogonal latin squares from affine planes, showed how to obtain complete sets of mutually orthogonal frequency squares from affine geometries. In this paper, the construction of a complete set of frequency squares not equivalent to an
The task of matching real and complex loads, for applications in the RF, microwa¨e, and optoelectronic areas, is addressed here. Four three-element true-bandpass LC networks, forming a family capable of matching any kind of real and first-order reacti¨ely constrained loads, are presented and discuss
In this paper we study a new class of completely generalized set-valued quasi-variational inclusion problems in Banach spaces. This inclusion problem is a generalization of the generalized set-valued variational inclusion problem studied by Chang et al. We show that Chang et al.'s algorithm can be m
Proving a conjecture of Wilf and Stanley in hitherto the most general case, we show that for any layered pattern q there is a constant c so that q is avoided by less than c n permutations of length n. This will imply the solution of this conjecture for at least 2 k patterns of length k, for any k.