Set cover problem (SCPAn approximation algorithmA greedy algorithmAn NP-complete optimization problemIn the set cover problem (SCP), a set of elements \\\({X = \\\{x_{1}, x_{2}, \\\ldots, x_{n}\\\}}\\\) and a collection \\\({F = \\\{S_{1}, S_{2}, \\\ldots, ...
Packing-Based Approximation Algorithm for the k-Set Cover Problem Martin Fürer, Huiwen Yu $29.95 / €24.95 / £19.95 * * Final gross prices may vary according to local VAT. Get Access Abstract We present a packing-based approximation algorithm for the k-Set Cover problem. We introduce...
A constant factor approximation algorithm for generalized min-sum set cover There are two well-studied extreme cases of this problem: (i) when K(S) = 1 for all sets, we get the min-sum set cover problem, and (ii) when K(S) = |S| for all sets, we get the minimum-latency set ...
Independent Set Vertex Cover 定义(independent set) 包含最多节点的节点子集S,并且任意两个节点子集中的节点在图上无边 问题(vertex cover) 一个图是否存在大小不超过k的节点子集覆盖所有边 X是independent set,则V/X是independent set 问题(set cover) 一个全集U的m个子集S1,S2,⋯,Sm,是否存在不超过k个子...
We reduce the set cover problem to the validation problem, thus proving that the validation problem is NP-hard. We present a O(logn)-approximation algorithm to the validation problem, where n in the number of edges that need to be validated. We also show that unless V =NP the ...
Bar-Yehuda, R., Even, S.: A linear-time approximation algorithm for the weighted vertex cover problem. J. Algorithms 2 (2), 198–203 (1981) MATH View Article MathSciNetBar-Yehuda, R., Even, S.: A linear-time approximation algorithm for the weighted vertex cover problem. Journal of ...
Our objective is to investigate and analyze some of most recently developed approximation algorithms for the optimization of multicast congestion problems. We also discus how they are modelled and solved in the literature. 展开 关键词: LP-relaxation approximation algorithm integer linear programming ...
In this paper, we study the computational complexity and approximation complexity of the connected set-cover problem. We derive necessary and sufficient conditions for the connected set-cover problem to have a polynomial-time algorithm. We also present a sufficient condition for the existence of a ...
for the case when each terminal is adjacent to at least n vertices. We also study the vertex cover problem in ... M Karpinski,A Zelikovsky 被引量: 75发表: 1997年 加载更多来源期刊 Acm Transactions on Algorithms 研究点推荐 Vertex Cover Problem Approximation Ratio Approximation algorithm 引用...
Most standard versions of this problem are known to be NP-hard. In 1987, Ghosh provided a deterministic $mathcal{O}(log n)$-approximation algorithm for the case of vertex guards and edge guards in simple polygons. In the same paper, Ghosh also conjectured the existence of constant ratio ...