While this problem was known to be NP-hard for k > 3, the first nontrivial NP-hardness of approximation factor of k/4 - 蔚 was shown in a recent work by Guruswami and Saket [13]. They also showed that assuming Khot's Unique Games Conjecture yields a k/2蔚 inapproximability for ...
We present an algorithm which finds a minimum vertex cover in a graph G(V, E) in time O(|V|+(ak)2k3), where for connected graphs G the parameter a is defined as the minimum number of edges that must be added to a tree to produce G, and k is the maximum a over all biconnect...
Vertex cover is one of the best known NP-hard combinatorial optimization problems. Experimental work has claimed that evolutionary algorithms (EAs) perform... PS Oliveto,J He,X Yao - 《IEEE Transactions on Evolutionary Computation》 被引量: 111发表: 2009年 Faster exact solutions for some NP-har...
VERTEX COVER AND SET COVER
Based on a conjecture regarding the power of unique 2-prover-1-round games presented in [S. Khot, On the power of unique 2-Prover 1-Round games, in: Proc. 34th ACM Symp. on Theory of Computing, STOC, May 2002, pp. 767–775], we show that vertex cover is hard to approximate wit...
Recently, there have been increasing interests and progresses in lowering the worst case time complexity for well-known NP-hard problems, in particular for the Vertex Cover problem. In this paper, new properties for the Vertex Cover problem are indicated and several new techniques are introduced, ...
Hard Constrained Vertex-Cover Communication Algorithm for WSN 639 3 Communication Problem Formulation We are given a two-dimensional service area (A) with width (W) and height (H) as shown in Figure 1. The service area is an obstacle-free. Also, the service area A is already divided into...
Recently, there have been increasing interests and progresses in lowering the worst case time complexity for well-known NP-hard problems, in particular for the VERTEX COVER problem. In this paper, new properties for the VERTEX COVER problem are indicated and several new techniques are introduced, ...
VERTEX-COVER是NP完全的: 相关知识点: 试题来源: 解析 证明: 这里给出一个从3SAT到VERTEX-COVER 的在多项式时间内运算的规约的细节内容,该规约把布尔公式¢映射为一个图G和值k。对于¢中的每个变量x,产生一条连接着两个结点的边。把这个构件中的两个结点标记为。把x赋值为TRUE对应于顶点覆盖选择该边的左...
simulated-annealing-algorithm minimum-vertex-cover np-problem Updated Sep 5, 2024 Python YOUSIKI / NuMVC Star 0 Code Issues Pull requests Unofficial C++ implementation of NuMVC: An Efficient Local Search Algorithm for Minimum Vertex Cover (http://arxiv.org/abs/1402.0584). algorithm cpp pku...