KaryTree (Built-in Mathematica Symbol)

KaryTree[n] gives a binary tree with n vertices.KaryTree[n, k] gives a k-ary tree with n vertices.

KirchhoffGraph (Built-in Mathematica Symbol)

KirchhoffGraph[kmat] gives the graph with Kirchhoff matrix kmat.KirchhoffGraph[{v_1, v_2, ...}, kmat] gives the graph with vertices v_i and Kirchhoff matrix kmat.

KnightTourGraph (Built-in Mathematica Symbol)

KnightTourGraph[m, n] gives a Knight's tour graph on an m*n chessboard.

PetersenGraph (Built-in Mathematica Symbol)

PetersenGraph[n, k] gives the generalized Petersen graph P n, k.

RandomGraph (Built-in Mathematica Symbol)

RandomGraph[{n, m}] gives a pseudorandom graph with n vertices and m edges.RandomGraph[{n, m}, k] gives a list of k pseudorandom graphs.RandomGraph[gdist, ...] samples from ...

StarGraph (Built-in Mathematica Symbol)

StarGraph[n] gives the star graph with n vertices S_n.

WeightedAdjacencyGraph (Built-in Mathematica Symbol)

WeightedAdjacencyGraph[wmat] gives the graph with weighted adjacency matrix wmat.WeightedAdjacencyGraph[{v_1, v_2, ...}, wmat] gives the graph with vertices v_i and weighted ...

WheelGraph (Built-in Mathematica Symbol)

WheelGraph[n] gives the wheel graph with n vertices W_n.

Divisible (Built-in Mathematica Symbol)

Divisible[n, m] yields True if n is divisible by m, and yields False if it is not.

Graph (Built-in Mathematica Symbol)

Graph[{e_1, e_2, ...}] yields a graph with edges e_j.Graph[{v 1, v 2, ...}, {e_1, e_2, ...}] yields the graph with vertices v_i and edges e_j. Graph[{..., w_i[v_i, ...], ...