SymmetricGroupIndex (Combinatorica Package Symbol)

SymmetricGroupIndex[n, x] returns the cycle index of the symmetric group on n symbols, expressed as a polynomial in x[1], x[2], ..., x[n].

SymmetricQ (Combinatorica Package Symbol)

SymmetricQ[r] tests if a given square matrix r represents a symmetric relation. SymmetricQ[g] tests if the edges of a given graph represent a symmetric relation.

TableauClasses (Combinatorica Package Symbol)

TableauClasses[p] partitions the elements of permutation p into classes according to their initial columns during Young tableaux construction.

TransposePartition (Combinatorica Package Symbol)

TransposePartition[p] reflects a partition p of k parts along the main diagonal, creating a partition with maximum part k.

VertexColor (Combinatorica Package Symbol)

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

VertexLabelColor (Combinatorica Package Symbol)

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

VertexLabel (Combinatorica Package Symbol)

VertexLabel is an option that can take on values True or False, allowing the user to set and display vertex labels.

VertexLabelPosition (Combinatorica Package Symbol)

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

VertexNumberColor (Combinatorica Package Symbol)

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

VertexNumber (Combinatorica Package Symbol)

VertexNumber is an option that can take on values True or False. This can be used in ShowGraph to display or suppress vertex numbers.