NP困难 1. The problem is proved to be NP-hard by an instance that the polynomial of the knapsack problem is reduced to this problem. 针对Hamming距离下的最短路逆问题,分析了最优解的性质,给出并证明了问题存在可行解的充分必要条件;利用把背包问题的实例多项式归约到该问题的实例,证明了该问题为NP...
(dags), We prove that the problem is strongly NP-hard. Our result implies that for arbitrary dags, there is no pseudo-polynomial time algorithm to obtain the exact solution unless P=NP. We also prove that the absolute approximation discrete gate sizing problem is strongly NP-hard. These ...
In particular, flattening is NP-hard when all the edge lengths are equal, whereas a previous (weak) NP-hardness proof used lengths that differ in size by an exponential factor. Our NP-hardness result also holds for (nonequilateral) chains with angles in the range [60° - ε, 180°], ...
'Strongly NP-Complete (NP-Hard)' published in 'Encyclopedia of Operations Research and Management Science'
We also prove that the absolute approximation discrete gate sizing problem is strongly NP-hard. These results provide insight into the difficulties of the problem and may lead to better heuristics 展开 关键词: Theoretical or Mathematical/ combinatorial circuits computational complexity graph theory logic...
The authors we lodged a method of reducing the solving difficulty the creative method of nonequivalence single restrict, aim at a kind of combination and optimize problem multi dimension 0 1 knapsack problem(also called the NP hard problem). 针对一类组合优化问题—多维 0 - 1背包问题 ( MKP) ...
aThus, the algorithms that consider moving the rectangles along the x-axis do not[translate] arove that RPP is strongly NP-hard and discuss a special case which is polynomially[translate]
[T.C.E. Cheng, C.T. Ng, J.J. Yuan, The single machine batching problem with family setup times to minimize maximum lateness is strongly NP-hard, Journal of Scheduling 6 (2003) 483–490] proved that this problem is strongly NP-hard. This answers a long-standing open problem posed by...
IV-matching is a generalization of perfect bipartite matching. The complexity of finding IV-matching in a graph was posted as an open problem at the ICALP 2014 conference. In this note, we resolve the question and prove that, contrary to the expectations
In another paper, they showed that the problem of finding a maximum-weight popular matching is NP-hard, while a maximum-weight popular half-integral matching can be found in polynomial time. The complexity of the bipartite maximum-weight popular matching problem is open. Several recent results ...