Vertex covermultiple cover constraintsApproximation algorithmWe consider the vertex cover problem with multiple coverage constraints in hypergraphs. In this problem, we are given a hypergraph G=(V,E) with a max
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...
A (1.35lnn+3)-approximation algorithm was obtained by Fujito [9] for MinWCVCP3 in a general graph. When k=2, the MinWCVCP2 problem is exactly the minimumweight connected vertex cover problem, for which a (ln(δmax−1)+1)-approximation follows from a classic theory on the minimum...
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 ...
We introduce and study two natural generalizations of the Connected Vertex Cover (VC) problem: the p-Edge-Connected and p-Vertex-Connected VC problem (where p≥2 is a fixed integer). We obtain an 2O(pk)nO(1)-time algorithm for p-Edge-Connected VC and an 2O(k2)nO(1)-time algorithm...
The goal of the SHSLP is to select a vertex subset in the hypergraph to cover some hyperedges and penalize the uncovered ones such that the total cost of covering and penalty is minimized. Based on the primal-dual scheme, we obtain a k -approximation algorithm for the SHSLP, where k ...
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 ...
min_weighted_vertex_cover(G, weight=None) 返回一个近似的最小加权顶点覆盖。 此函数返回的节点集保证为顶点覆盖,并且该集的总权重保证至多为最小权重顶点覆盖的总权重的两倍。换言之,\[W(S)\Leq 2 *W(S ^)* )\] 其中,$S$是此函数返回的顶点覆盖,$S^*$是图的所有顶点覆盖中最小权重的顶点覆盖,$...
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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 ...