SimpleQ[g] yields True if g is a simple graph, meaning it has no multiple edges and contains no self-loops.

SmallestCyclicGroupGraph returns a smallest nontrivial graph whose automorphism group is cyclic.

Spectrum[g] gives the eigenvalues of graph g.

SymmetricGroup[n] returns the symmetric group on n symbols.

TableauQ[t] yields True if and only if t represents a Young tableau.

Tableaux[p] constructs all tableaux having a shape given by integer partition p.

ThickDashed is a value that the option EdgeStyle can take on in the graph data structure or in ShowGraph.

ThinDashed is a value that the option EdgeStyle can take on in the graph data structure or in ShowGraph.

ToInversionVector[p] gives the inversion vector associated with permutation p.

TransitiveQ[g] yields True if graph g defines a transitive relation.