IncidenceMatrix[g] gives the vertex-edge incidence matrix of the graph g.
KirchhoffMatrix[g] gives the Kirchhoff matrix of the graph g.
Module
(Built-in Mathematica Symbol) Module[{x, y, ...}, expr] specifies that occurrences of the symbols x, y, ... in expr should be treated as local. Module[{x = x_0, ...}, expr] defines initial values for x, ...
NullSpace[m] gives a list of vectors that forms a basis for the null space of the matrix m.
ParallelArray[f, n] generates in parallel a list of length n, with elements f[i], evaluated.ParallelArray[f, {n_1, n_2, ...}] generates in parallel an n_1*n_2*... array of ...
ParallelDo[expr, {i_max}] evaluates expr in parallel i_max times. ParallelDo[expr, {i, i_max}] evaluates expr in parallel with the variable i successively taking on the ...
StirlingS2[n, m] gives the Stirling number of the second kind \[ScriptCapitalS]_n^(m).
Union
(Built-in Mathematica Symbol) Union[list_1, list_2, ...] gives a sorted list of all the distinct elements that appear in any of the list_i. Union[list] gives a sorted version of a list, in which all ...
Many programs you write will involve operations that need to be iterated several times. Nest and NestList are powerful constructs for doing this. Applying functions of one ...
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 ...