Graph6 (Mathematica Import/Export Format)

Graph6 graph data format. Used for storing undirected graphs. ASCII format. Stores connectivity information for multiple undirected graphs. Suitable for small graphs or large ...

Sparse6 (Mathematica Import/Export Format)

sparse6 graph data format. Used for storing undirected graphs. ASCII format. Stores connectivity information for multiple undirected graphs. Suitable for large sparse graphs, ...

MapThread (Built-in Mathematica Symbol)

MapThread[f, {{a_1, a_2, ...}, {b_1, b_2, ...}, ...}] gives {f[a_1, b_1, ...], f[a_2, b_2, ...], ...}. MapThread[f, {expr_1, expr_2, ...}, n] applies f to the parts of the ...

Numerical Optimization (Mathematica Tutorial)

Searching for local minima and maxima. This finds the value of x which minimizes Γ(x), starting at x2. The last element of the list gives the value at which the minimum is ...

Brent's Method (Mathematica Tutorial)

When searching for a real simple root of a real valued function, it is possible to take advantage of the special geometry of the problem, where the function crosses the axis ...

LayeredGraphPlot (Built-in Mathematica Symbol)

LayeredGraphPlot[{v i 1 -> v j 1, v i 2 -> v j 2, ...}] generates a layered plot of the graph in which vertex v_ik is connected to vertex v_jk.LayeredGraphPlot[{{v i 1 -> v j ...

Variables and Starting Conditions (Mathematica Tutorial)

All the functions FindMinimum, FindMaximum, and FindRoot take variable specifications of the same form. The function FindFit uses the same form for its parameter ...

LinearProgramming (Built-in Mathematica Symbol)

LinearProgramming[c, m, b] finds a vector x that minimizes the quantity c.x subject to the constraints m.x >= b and x >= 0. LinearProgramming[c, m, {{b_1, s_1}, {b_2, s_2}, ...

IncidenceMatrix (Combinatorica Package Symbol)

IncidenceMatrix[g] returns the (0, 1)-matrix of graph g, which has a row for each vertex and a column for each edge and (v, e) = 1 if and only if vertex v is incident upon ...

Explicit (Numerical Differential Equation Analysis Package Symbol)

Explicit is a setting for the option RungeKuttaMethod specifying the type of Runge\[Dash]Kutta method to be generated.