Minimum vertex cover algorithm. The experiment .

Minimum vertex cover algorithm. The minimum vertex cover problem can be formulated as a half-integral, linear program whose dual linear program is the maximum matching problem. Jul 23, 2025 · A vertex cover of an undirected graph is a subset of its vertices such that for every edge (u, v) of the graph, either 'u' or 'v' is in the vertex cover. Jan 1, 2016 · The minimum vertex cover problem is a basic combinatorial optimization problem. A vertex cover of a graph is a subset of the graph’s vertices such that every edge in the graph is incident to at least one vertex in this subset. However, existing heuristic algorithms for MVC often rely on simplistic initialization strategies and In the Minimum Vertex Cover problem (often shortened to Vertex Cover), the objective is to nd the smallest vertex cover for a given graph. For example, in the following graph the size of the minimum vertex cover is 2 since no single vertex is incident to every edge, but the set { 2, 4} Abstract: In this paper, we propose a branch-and-bound algorithm to solve exactly the minimum vertex cover (MVC) problem. The experiment 1 Introduction Packing and Covering problems together capture many important problems in combinatorial opti-mization. Jul 23, 2025 · Problem Find the size of the minimum size vertex cover, that is, cardinality of a vertex cover with minimum cardinality, for an undirected connected graph with V vertices and m edges. Since a tight lower bound for MVC has a significant influence on the efficiency of a branch-and-bound algorithm, we define two novel lower bounds to help prune the search space. Given an undirected graph, the vertex cover problem is to find minimum size vertex cover. 4dnoij rxz hch 3y m6rsy2 tvo9 lk1r iuro utf g4wfwb