Although the P versus NP Question remains unresolved, the theory of NP-completeness offers evidence for the intractability of specific problems in NP by showing that they are universal for the entire class. Amazingly enough, NP-complete problems exist, and furthermore hundreds of natural ...
P (Polynomial time) The class P is the set of all decision problems that can be solved in polynomial time in the size of their encoding (ie. polynomial number of operations) NP (Nondeterministic Polynomial time) The set of all decision problem such that if the answer is YES then there i...
P和NP依然可以被数学家和逻辑学家们发现并赋予其他的含义，它们本质上是从逻辑结构自然产生出来的，无关...
Separating NP-completeness notions under strong hypotheses J.H. Lutz (1993) proposed the study of the structure of the class NP=NTIME(poly) under the hypothesis that NP does not have p-measure 0 (with respect to Lu... K Ambos-Spies,L Bentzien - IEEE Conference on Computational Complexity...
A one-step computation is presented whose intrinsic paradoxical nature prevent it from being reduced to SAT despite the fact that it is certainly decidable and in the class P. This counter-example to the NP-completeness property is a member of an infinite class of languages SySBPD, those lang...
Although this claim looks very plausible and intuitive, currently we cannot provide a definite answer for it. However, we can solve in the affirmative a weaker claim that says that all ``consistent'' universal first-order sentences can be safely eliminated without the fear of losing completeness...
序列化和反序列化 # 把所有图片解析成一个矩阵,然后保存到一个二进制文件,然后读取二进制文件还原成图片 class Image_Array_Util(object): __arrayFile...,)) image_arr=np.concatenate((r_arr,g_arr,b_arr)) #image_arr矩阵==一张图片 big_arr=np.concatenate((big_arr,image_arr NP completeness(NP...
Response: There's a good theoretical answer to this: it's because polynomials are the smallest class of functions that contains the linear functions, and that's closed under basic operations like addition, multiplication, and composition. For this reason, they're the smallest class that ensures ...
The problem of determining whether an arbitrary graph is a planar is in the class {bf P} and it can be solved with a polynomial time algorithm. But the problem of determining whether there is a planar in arbitrary subgraphs, which have identical order, of $sumlimits_{nu=1}^{L}dbinom{...
1 Introduction As many problems in computer science and other fields of science belong to the class of NP, and till now there was no general algorithm which solves NP-complete problems effectively, therefore the question 2 that basically does exists an effective algorithm to solve that or not ...