Maximal independent set
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In graph theory, an independent set (or an internally stable set) is a set of nodes on a graph such that no edge is complete. That is so that all the members of an edge are not part of the set. (In the case of a normal graph, the nodes in the set are not neighbors.)
A maximal independent set (or a maximal internally stable set) is an independent set such that adding any other node to the set makes the set no longer independent.