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

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

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.

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

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

VertexStyle is an option that allows the user to associate different sizes and shapes to vertices.