归约是将某个计算问题(computational problem)转换为另一个问题的过程。可用归约法定义某些问题的复杂度类(因转换过程而异)。以直觉观之,“问题A可归约为问题B”,指问题B的答案可用于解决问题A。因此解决A不会难于解决B。 《算法导论》上举了这么一个例子。比如说,现在有两个问题:求解一个一元一次方程和求解一个一元二
Practical, Theoretical or Mathematical/ computational complexityoptimisationpolynomialsprobability/ nondeterministic computationsprobabilistic algorithmsNP-hard problemscomplexity classespolynomial time hierarchyNP-complete problemcircuit complexityStudies the relationship between complexity classes defined by nondeterministic ...
The fact that polynomial time algorithm is very unlikely to be devised for an optimal solving of the NP-hard problems strongly motivates both the researchers and the practitioners to try to solve such problems heuristically, by making a trade-off between computational time and solution’s quality....
4.1 Computational complexity The NP-hardness (in the ordinary sense) of problem O3||Cmax is proved in Gonzalez and Sahni (1976). It is still not known whether problem Om||Cmax is NP-hard in the strong sense for any fixed number m≥3 of machines. If the number of machines is variable...
problem, in: Pr o . Computational Symp osium on Gr aph Coloring and Extensions (2002). [11℄ C. Gomes and D. Shmo ys, The promise of LP to b o ost CSP te hniques for om binatorial problems, in: Pr o . 4th International Symp osium on Inte gr ation of AI and OR T e h...
而最为关键的是,我似乎发现这个 combo 好像能够用于构造一个计算复杂性(computational complexity)上的简单归约。所以,我又来蹭热度了~ 关于用计算复杂性理论讨论炉石这个论题,我也写过两篇文稿了,链接我放在了文末(有兴趣的同学可以看完本篇后再看)。主要内容是在论证,想玩好炉石(不错过任何一个斩杀,避免所有...
Among the classes of heuristic methods for NP-hard problems, the polynomial approximation algorithms aim at solving a given NP-hard problem in poly-nomial time by computing feasible solutions that are, under some predefined criterion, as near to the optimal ones as possible. The polynomial ...
From the observation that, intuitively, there are many connections among categorical concepts and structural complexity notions, in this work we present a categorical approach to cope with some questions originally studied within Computational Complexity Theory. After defining the polynomial time soluble ...
2.The computational complexity problem of K-T point in quadratic programming is transformed into linear complementarity s computational complexity problem,and combining with knapsack problem,we obtained that quadratic programming is anNP-hard problem.将二次规划中K-T点复杂性问题转化为线性互补复杂性问题,...
In the context of lattice-surgery-based logic, we can introduce anoptimality condition, which corresponds to a circuit with the lowest resourcerequirements in terms of physical qubits and computational time, and prove thatthe complexity of optimizing a quantum circuit in the lattice surgery model is...