PetersenGraph returns the Petersen graph, a graph whose vertices can be viewed as the size-2 subsets of a size-5 set with edges connecting disjoint subsets.

RandomSubset[l] creates a random subset of set l.

RankBinarySubset[l, s] gives the rank of subset s of set l in the ordering of subsets of l, obtained by interpreting these subsets as binary string representations of ...

RankGrayCodeSubset[l, s] gives the rank of subset s of set l in the Gray code ordering of the subsets of l.

RankKSubset[s, l] gives the rank of k-subset s of set l in the lexicographic ordering of the k-subsets of l.

VertexColor is an option that allows the user to associate colors with vertices.

VertexLabelColor is an option that allows the user to associate different colors to vertex labels.

VertexLabelPosition is an option that allows the user to place a vertex label in a certain position relative to the vertex.

VertexNumberColor is an option that can be used in ShowGraph to associate different colors to vertex numbers.

VertexWeight is an option that allows the user to associate weights with vertices.