ListWaveform[{{f_1, a_1}, {f_2, a_2}, ...}, freq, dur] creates a Sound object with fundamental frequency of freq hertz, lasting for dur seconds, with a spectrum in which ...

Waveform[type, freq, dur] creates a Sound object that is a standard waveform of type type, having a fundamental frequency of freq hertz, and a duration of dur seconds.

ButterflyGraph[n] returns the n-dimensional butterfly graph, a directed graph whose vertices are pairs (w, i), where w is a binary string of length n and i is an integer in ...

FromAdjacencyMatrix[m] constructs a graph from a given adjacency matrix m, using a circular embedding. FromAdjacencyMatrix[m, v] uses v as the embedding for the resulting ...

FunctionalGraph[f, v] takes a set v and a function f from v to v and constructs a directed graph with vertex set v and edges (x, f[x]) for each x in v. FunctionalGraph[{f_1, ...

MakeGraph[v, f] constructs the graph whose vertices correspond to v and edges between pairs of vertices x and y in v for which the binary relation defined by the Boolean ...

NetworkFlow[g, source, sink] returns the value of a maximum flow through graph g from source to sink. NetworkFlow[g, source, sink, Edge] returns the edges in g that have ...

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 ...

RankedEmbedding[l] takes a set partition l of vertices {1, 2, ..., n} and returns an embedding of the vertices in the plane such that the vertices in each block occur on a ...

SetGraphOptions[g, opts] returns g with the options opts set. SetGraphOptions[g, {v_1, v_2, ..., v_opts}, g_opts] returns the graph with the options v_opts set for vertices ...