Constructing Graphs (Combinatorica Package Guide)

Perform a Monte Carlo Simulation (Mathematica How To)

Monte Carlo methods use randomly generated numbers or events to simulate random processes and estimate complicated results. For example, they are used to model financial ...

CholeskyDecomposition (Built-in Mathematica Symbol)

CholeskyDecomposition[m] gives the Cholesky decomposition of a matrix m.

CompleteKaryTree (Built-in Mathematica Symbol)

CompleteKaryTree[n] gives the complete binary tree with n levels.CompleteKaryTree[n, k] gives the complete k-ary tree with n levels.

DeBruijnGraph (Built-in Mathematica Symbol)

DeBruijnGraph[m, n] gives the n-dimensional De Bruijn graph with m symbols.DeBruijnGraph[m, n, type] gives the De Bruijn graph with connectivity given by type.

GridGraph (Built-in Mathematica Symbol)

GridGraph[{m, n}] gives the grid graph with m*n vertices G m, n.GridGraph[{n_1, n_2, ..., n_k}] gives the k-dimensional grid graph with n_1*n_2*\[CenterEllipsis]*n_k vertices ...

HararyGraph (Built-in Mathematica Symbol)

HararyGraph[k, n] generates the minimal k-connected graph on n vertices H k, n.

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.

KnightTourGraph (Built-in Mathematica Symbol)

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

NonlinearModelFit (Built-in Mathematica Symbol)

NonlinearModelFit[{y_1, y_2, ...}, form, {\[Beta]_1, ...}, x] constructs a nonlinear model with structure form that fits the y_i for successive x values 1, 2, ... using the ...