A maximal independent vertex set of a graph is an independent vertex set that cannot be expanded to another independent vertex set by addition of any vertex in the graph. A maximal independent vertex set of a graph G is equivalent to a maximal clique on the graph complement G'. Note that a maximal independent vertex set is not equivalent to a maximum independent vertex set, which is an independent vertex set containing the largest possible number of vertices among all independent vertex sets. A maximum independent vertex set is always maximal, but the converse does not hold.
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Jonathan is doing really well in all of his classes this semester, 5 A’s & 2 B’s (he has a computer essentials class instead of PLC). In his Algebra class that Nathan is helping him with he has an A+.
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