Vertex Cover AlgorithmThe vertex cover approximation algorithm takes an undirected graph as an input and is executed to obtain a set of vertices that is definitely twice as the size of optimal vertex cover.The vertex cover is a 2-approximation algorithm....
Our algorithm is based on a novel LP relaxation for this problem. This LP relaxation is obtained by adding knapsack cover inequalities to a natural LP relaxation of the problem. We show that this LP has integrality gap of $O(log r)$, where $r$ is the number of sets in the partition ...
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 ...
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...
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...
两种方法求Weighted Vertex Cover近似解
The vertex cover problem is a classical NP–complete problem for which the best worstcase approximation ratio is 2–o(1). In this paper, we use a collection of simple graph transformations, each of which guarantees an approximation ratio of 3 2 , to find approximate vertex covers for a lar...
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...
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-...
This code reproduces Figure 2, which shows improved bounds from the maximal matching 2-approximation algorithm for minimum vertex cover.Note: this function is multithreaded, so you can run with, e.g., JULIA_NUM_THREADS=4 julia.include("neighborhoods_minimum_vc_bounds.jl") # Read graph from ...