ListNecklaces[n, c, Cyclic] returns all distinct necklaces whose beads are colored by colors from c. Here c is a list of n, not necessarily distinct colors, and two colored ...

OrbitInventory[ci, x, w] returns the value of the cycle index ci when each formal variable x[i] is replaced by w. OrbitInventory[ci, x, weights] returns the inventory of ...

ShowLabeledGraph[g] displays graph g according to its embedding, with each vertex labeled with its vertex number.ShowLabeledGraph[g, l] uses the i\[Null]^th element of list l ...

Strings[l, n] constructs all possible combinatorial strings of length n from the elements of list l.

ToOrderedPairs[g] constructs a list of ordered pairs representing the edges of the graph g.

ToUnorderedPairs[g] constructs a list of unordered pairs representing the edges of graph g. Each edge, directed or undirected, results in a pair in which the smaller vertex ...

Arrow has been added to the built-in Mathematica kernel. New directive Arrowheads has been added to the built-in Mathematica kernel.

Color names are available in the new kernel function ColorData.

All the functionality in Miscellaneous`WorldNames` is now available in the built-in Mathematica kernel function CountryData.

The functionality of PrimitiveElement is now available in the newly added built-in Mathematica kernel function ToNumberField.