这个问题有一个npo(np optimization problem)的变种,即:找到满足条件的最小顶点集,也就是使得满足条件下最小|V'|值。 首先可以看出,这是两类完全不同的问题,set cover属于集合一类问题,应用于计算机科学以及计算理论方面。vertex cover,属于图论一类问题,应用于计算机科学、计算理论、图论、数学等等方面。
这个问题有一个npo(np optimization problem)的变种,即:找到满足条件的最小顶点集,也就是使得满足条件下最小|V'|值。 首先可以看出,这是两类完全不同的问题,set cover属于集合一类问题,应用于计算机科学以及计算理论方面。vertex cover,属于图论一类问题,应用于计算机科学、计算理论、图论、数学等等方面。 如果这篇...
VERTEX COVER AND SET COVER
1.1.1 VERTEX-COVER ≤ P SET-COVER Pf. Given a VERTEX-COVER instance G = (V, E) and k, we construct a SET-COVER instance (U, S, k) that has a set cover of size k iff G has a vertex cover of size k. 给你一个顶点覆盖我们一定可以构造出一个集合覆盖实列,集合覆盖的解K就是顶...
1.1.1 VERTEX-COVER ≤ P SET-COVER Pf. Given a VERTEX-COVER instance G = (V, E) and k, we construct a SET-COVER instance (U, S, k) that has a set cover of size k iff G has a vertex cover of size k. 给你一个顶点覆盖我们一定可以构造出一个集合覆盖实列,集合覆盖的解K就是顶...
Tuza, The most vital nodes with respect to independent set and vertex cover, Discrete Applied Mathematics 159 (2011) 1933-1946.Cristina Bazgan, Sonia Toubaline, and Zsolt Tuza. The most vital nodes with respect to independent set and vertex cover. Discrete Applied Mathematics, 159(17) :1933...
We also present an O^*(1.1923^k) O^*(1.1923^k) -time algorithm to decide if a graph with degree bounded by 3 has a vertex cover of size k k , which improves the previously known algorithm of running time O^*(1.1939^k) O^*(1.1939^k) by Chen, Kanj and Xia [ISAAC 2003]. Two...
Solution:SET-COVER can be seen as a generalization of VERTEX COVER.For a given graph G ,consider each vertex as a set of the edges incident upon it.Formally,we define the sets S u ={(u,v )∈E |v ∈V }for all u ∈V .Also,we take U =E and let k be the same as in ...
Vertex Cover parameterized by the solution size k is the quintessential fixed-parameter tractable problem. FPT algorithms are most interesting when the parameter is small. Several lower bounds on k are well-known, such as the maximum size of a matching. This has led to a line of research on...
Efficient bounds for the stable set, vertex cover and set packing problems Discrete Appl. Math. (1983) C.H. Papadimitriou et al. Optimization, approximation, and complexity classes J. Comput. System Sci. (1991) J.B. Shearer A note on the independence number of triangle-free graphs Discrete...