The generalized vertex cover problem (GVCP) is a well-known combinatorial problem of the classic minimum vertex cover problem with rich applications. And local search algorithm is an effective heuristic algorithm to solve GVCP. Therefore, In this paper, we develop an improved local search ...
Jansen, T., Oliveto, P.S., Zarges, C.: On the Analysis of the Immune-Inspired B-Cell Algorithm for the Vertex Cover Problem. In: Liò, P., Nicosia, G., Stibor, T. (eds.) ICARIS 2011. LNCS, vol. 6825, pp. 117–131. Springer, Heidelberg (2011)...
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 ...
Summary of the problem: Given a tree find a largest set of edges such that no two edges share an endpoint (maximum matching), or to find minimal set of nodes such that each node outside the set must be adjacent to at least one node in the set (minimum vertex cover). Usual algorithm...
The k-prize-collecting minimum vertex cover problem with submodular penalties (k-PCVCS) is a generalization of the minimum vertex cover problem, which is one of the most important and fundamental problems in graph theory ...
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...
The algorithm finds the minimum set of junctions that cover maximum number of roads.It is a minimization problem since we find the minimum size of the vertex cover the size of the vertex cover is the number of vertices in it. The optimization problem is an NP-Complete problem and hence, ...
public class ActivitySelectionProblem { /* 要在一个会议室举办 n 个活动 - 每个活动有它们各自的起始和结束时间 - 找出在时间上互不冲突的活动组合,能够最充分利用会议室(举办的活动次数最多) 例1 0 1 2 3 4 5 6 7 8 9 |---) |---) |---) 例2 0 1 2 3 4 5 6 7 8 9 |---) |-...
Tractable(efficiently solvable) problem 可以在多项式时间内解决的问题 多项式时间归约 考虑决定问题,返回yes or no image-20221115104145911 如果X可以通过多项式规约为Y,Y有多项式时间算法,则X也有多项式时间算法,记作X≤PY Independent Set Vertex Cover 定义(independent set) ...
Xu et al. (Theor Comput Sci 630:117鈥 125, 2016) presented a primal-dual algorithm for the submodular vertex cover problem with linear/submodular penalties. Motivated by their work, we study the submodular hitting set problem with linear penalties (SHSLP). The goal of the SHSLP is to ...