One is a tag used in several functions to inform the functions that only one object need be considered or only one solution be produced, as opposed to all objects or all ...

Optimum is a value that the option Algorithm can take on when used in functions VertexColoring and VertexCover.

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 ...

OrbitRepresentatives[pg, x] returns a representative of each orbit of x induced by the action of the group pg on x.

Orbits[pg, x] returns the orbits of x induced by the action of the group pg on x.

Ordered is an option to the functions KSubsetGroup and KSubsetGroupIndex that tells the functions whether they should treat the input as sets or tuples.

OrientGraph[g] assigns a direction to each edge of a bridgeless, undirected graph g, so that the graph is strongly connected.

OutDegree[g, n] returns the out-degree of vertex n in directed graph g. OutDegree[g] returns the sequence of out-degrees of the vertices in directed graph g.

PairGroupIndex[g, x] returns the cycle index of the pair group induced by g as a polynomial in x[1], x[2], ....PairGroupIndex[ci, x] takes the cycle index ci of a group g ...

PairGroup[g] returns the group induced on 2-sets by the permutation group g. PairGroup[g, Ordered] returns the group induced on ordered pairs with distinct elements by the ...