In this paper, the tile assembly model can be applied to solve the set cover problem which is a well-known NP-complete problem. In order to achieve this, we design a MinSetCover system which is composed of three parts, the initial configuration subsystem, the nondeterministic choosing ...
It is a problem "whose study has led to the development of fundamental techniques for the entire field" of approximation algorithms. The decision version of set covering is NP-complete, and the optimization version of set cover is NP-hard. In computer science and operations research, ...
In this paper, it is proved how the DNA operations presented by Adleman and Lipton can be used for developing DNA algorithms to resolving the set cover problem and the problem of exact cover by 3 -sets. 展开 关键词: Biological computing Molecular computing DNA-based computing The NP-complete...
Here we consider using quantum annealing to solve Set Cover with Pairs (SCP), an NP-hard combinatorial optimization problem that plays an important role in networking, computational biology and biochemistry. We show an explicit construction of Ising Hami
摘要: Starting from the vertex cover problem, this paper obtains a more particular NP-complete problem (comparing with the feedback vertex set problem) and its counterpart in finite automata theory关键词: Theoretical or Mathematical/ finite automata set theory/ vertex cover NP-complete feedback ...
27 September 2016 Yudong Cao1, Shuxian Jiang1, Debbie Perouli2 & Sabre Kais3,4 Here we consider using quantum annealing to solve Set Cover with Pairs (SCP), an NP-hard combinatorial optimization problem that plays an important role in networking, computational biology, and biochemistry...
首先,HITTING SET是一个NP问题。 对于H中的所有元素,和Si逐个比较是否有交集并且大小小于等于b,这个操作显然是多项式时间复杂度的问题。 其次,Vertex Cover是一个NP难问题。 由书本P241、242,可知最小顶点覆盖问题(Vertex Cover)是NP难问题。 最后,将Vertex Cover归约到HITTING SET,即可证明碰撞集问题是一个NP完全...
Solutions to Problem Set 8 1.Define SET COV ER to be {(U,S 1,...,S m ,k )|∀i ,S i ⊂U ,and there is I ⊆{1,...,m }with |I |=k and U = i ∈I {S i }Show that SET COV ER is NP -complete.[20points]Solution:SET-COVER can be seen as a generalization ...
Set packing is a classical NP-complete problem in computational complexity theory and combinatorics, and was one of Karp's 21 NP-complete problems. Suppose we have a finite set S and a list of subsets of S. Then, the set packing problem asks if some k subsets in the list are pairwise...
The SET k-cover problem is an NP-complete combinatorial optimization problem, which is derived from constructing energy efficient wireless sensor networks ... YL Li,XM Hu,J Zhang - IEEE International Conference on Systems 被引量: 36发表: 2009年 Algorithm for protecting light-trees in survivable ...