What is the independent set problem in graph theory?

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What is the independent set problem in graph theory?

The independent set problem in graph theory refers to finding a subset of vertices in a graph such that no two vertices in the subset are adjacent. In other words, it involves identifying a set of vertices that are not connected to each other by an edge. The goal is to find the largest possible independent set in a given graph. This problem is known to be NP-complete, meaning that there is no known efficient algorithm to solve it for all graphs. However, various approximation algorithms and heuristics have been developed to find reasonably good solutions for practical purposes.