A **maximal independent set** (MIS) is a specific concept within graph theory. To understand an MIS, it's important to first grasp the definitions of an independent set and what it means for that set to be maximal. 1. **Independent Set**: In a graph, an independent set is a subset of vertices such that no two vertices in the subset are adjacent. This means that there are no edges connecting any pair of vertices in the independent set.

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