MaximumAntichain[g] gives a largest set of unrelated vertices in partial order g.

MaximumIndependentSet[g] finds a largest independent set of graph g.

McGeeGraph returns the unique (7, 3)-cage, a 3-regular graph with girth 7.

MinimumChainPartition[g] partitions partial-order g into a minimum number of chains.

MinimumVertexColoring[g] returns a minimum vertex coloring of g. MinimumVertexColoring[g, k] returns a k-coloring of g, if one exists.

MultipleEdgesQ[g] yields True if g has multiple edges between pairs of vertices. It yields False otherwise.

MycielskiGraph[k] returns a triangle-free graph with chromatic number k, for any positive integer k.

NextComposition[l] constructs the integer composition that follows l in a canonical order.

NextGrayCodeSubset[l, s] constructs the successor of s in the Gray code of set l.

NextLexicographicSubset[l, s] gives the lexicographic successor of subset s of set l.