We call this the Knapsack Partition Vertex Cover problem. We give an O(logr) approximation algorithm for this problem as well.doi:10.1016/j.tcs.2014.04.006Bera, Suman K.Gupta, ShalmoliKumar, AmitRoy, SambuddhaElsevier B.V.Theoretical Computer Science...
Such an idea is inspired by [9], in which a 5∕3-approximation algorithm was obtained for the minimum connected vertex cover problem (MinCVC) on those classes of graphs for which MinVC is polynomial-time solvable. Besides such an idea, due to the much more complicated structure of a CVC...
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个子集的并构成整个全集 polynomial ...
Approximation Algorithm 1. Approximation ratioCost: the size of the solution, for example, in vertex cover, it’s the size of the cover; in TSP, it’s the total distance.Since the approximation algorithm, the cost we have is always greater than the optimal solution.2. Vertex Cover...
Divide-and-Conquer Approximation Algorithm for Vertex Cover The vertex cover problem is a classical NP-complete problem for which the best worst-case approximation ratio is $2-o(1)$. In this paper, we use a collection of simple graph transformations, each of which guarantees an approximation ra...
aApproximation algorithms for Partial Capacitated Vertex Cover 略计算法为部份使能的端点盖子 [translate] 英语翻译 日语翻译 韩语翻译 德语翻译 法语翻译 俄语翻译 阿拉伯语翻译 西班牙语翻译 葡萄牙语翻译 意大利语翻译 荷兰语翻译 瑞典语翻译 希腊语翻译 51La ...
The first is an iterative rounding algorithm and gives a (2 + $\\tfrac{Q} {{OPT}}$ )-approximation for the k-partial vertex cover problem where Q is the largest finite weight in the problem definition and OPT is the optimal value for the instance. The second algorithm uses the first ...
In this paper we present a 2-approximation NC (and RNC) algorithm for connected vertex cover (and tree cover). The NC algorithm runs in O(log 2 n) time using O( Δ 2( m+ n)/log n) processors on an EREW-PRAM, while the RNC algorithm runs in O(log n) expected time using O(...
Xiong, An approximation algorithm for weak vertex cover problem in IP network traffic measurement, IEEE International Conference (2009), pp. 182–186 J. Chen, I.A. Kanj, G. Xia, Improved parameterized upper bounds for vertex cover. 31st International Conference on Mathematical Foundations of ...
We present a distributed 2-approximation algorithm for the minimum vertex cover problem. The algorithm is deterministic, and it runs in (Δ + 1)2 synchronous communication rounds, where Δ is the maximum degree of the graph. For Δ = 3, ... Åstrand, Matti,P Floreen,V Polishchuk,......