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...
If furthermore, the subgraph of G induced by C (denoted as G[C]) is connected, then C is called a connected k-path vertex cover (CVCPk) of G. Given a weight function w on the vertex set V, A 3ln n-approximation algorithm This section presents a one-stage greedy algorithm which...
Mastrolilli, Vertex cover in graphs with locally few colors (2011), pp 498–509 D. Hochbaum, Approximation algorithms for the set covering and vertex cover problems. SIAM J. Comput. 11(3), 555–556 (1982) CrossRef About this Chapter Title Vertex Cover Problem—Revised Approximation ...
Vertex Cover Algorithm - Learn about the Vertex Cover Algorithm, its applications, and how it works in graph theory with examples and explanations.
Vertex cover problem给定一个无向图 ,定义在每个顶点上的 cost function 为 ,要求给出顶点集的子集 ,满足 ,即任意一条边存在至少一个顶点在集合 中,且 。 比较常见的选择是 ,这时也称为 cardinality set cover problem。对这个特例,我们可以借助所谓 maximum matching 获得 lower bound。
两种方法求Weighted Vertex Cover近似解
goal is to minimize the maximum total activation time assigned to any processor. We design a multitude of approximation algorithms for VCMS and its variants, many of which match or almost match the best approximation bound known for the vertex cover problem. In particular, we give a-approximation...
For every fixed p≥2, p-Edge-Connected Vertex Cover admits a polynomial-time 2(p+1)-factor approximation algorithm. The proof of this theorem uses the notion of p-blocks which can be obtained from a Gomory-Hu tree. Unfortunately, this approach is not applicable to p-Connected Vertex Cover...
approximation degreeheuristic algorithmMinimum vertex cover problem(Min-VC) on a graph is a NP-hard problem. The neighborhoods of a vertex are analyzed in this paper, and so are the information they hold for judging whether the vertex is belong to Min-VC or not. Then, the concept of Max-...
A combinatorial 3-approximation algorithm (Algorithm 2) based on the guessing technique and the primal-dual framework. Credit: Liu, X., Li, W. & Yang, J. The k-prize-collecting minimum vertex cover problem with submodular penalties (k-PCVCS) is a generalization of the minimum vertex cover...