N. Boria, F. Della Croce, and V. T. Paschos. On the max min vertex cover problem. Discrete Applied Mathematics, 196:62-71, 2015.Boria, N., Della Croce, F., Paschos, V.: On the max min vertex cover problem. In:
This paper is aimed to present the solution to vertex cover problem by means of an approximation solution. As it is NP complete problem, we can have an approximate time algorithm to solve the vertex cover problem. We will modify the algorithm to have an algorithm which can be solved in ...
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...
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 ...
{7,8},{3,5},{8,5}};for(inti=0;i<edges;i++){intu=edgesData[i][0];intv=edgesData[i][1];graph[u][v]=graph[v][u]=1;}approxVertexCover(vertices,edges);printf("Vertex Cover: ");for(inti=1;i<=vertices;i++){if(included[i]){printf("%d ",i);}}printf("\n");return...
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...
两种方法求Weighted Vertex Cover近似解
比较容易获得 maximum matching 的算法自然是Edmond’s maximum matching 算法。这样获得的子集中边的个数实际上就为 set cover problem 提供了一个下界:因为 vertex cover 选择的顶点必然出现在 maximum match 的边集的某条边上,这样边数不多于 vertex cover 的顶点数。
(IG) lower bounds on strong LP and SDP relaxations derived by the Sherali-Adams (SA), Lov谩sz-Schrijver-SDP (LS_+), and Sherali-Adams-SDP (SA_+) lift-and-project (L&P) systems for the t-Partial-Vertex-Cover (t-PVC) problem, a variation of the classic Vertex-Cover problem in ...
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