Vertex cover problem

The Vertex Cover Problem is a classic problem in graph theory and computer science, commonly studied in the context of algorithm design and analysis. It is defined as follows: Given an undirected graph \(G = (V, E)\), where \(V\) is the set of vertices and \(E\) is the set of edges, the goal is to find the smallest subset of vertices \(C \subseteq V\) such that every edge in \(E\) has at least one endpoint in \(C\). In other words, every edge _____ _______ _____ _______ ________ ____ __________ _______ __________ ___ ____.
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