What is the maximum independent set problem in graph theory?

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What is the maximum independent set problem in graph theory?

The maximum independent set problem in graph theory refers to finding the largest possible set of vertices in a graph, such that no two vertices in the set are adjacent (i.e., there is no edge connecting them). In other words, it is the problem of finding a subset of vertices in a graph that are mutually non-adjacent and has the maximum possible size. The objective is to determine the size of the largest independent set in the given graph.