This method returns the list of nodes of the chordal network. If the optional argument i is given, then only the nodes of rank i are returned.
i1 : R = QQ[x_0..x_3, MonomialOrder=>Lex]; |
i2 : I = ideal {x_0^3-x_0, x_0*x_2-x_2, x_1-x_2, x_2^2-x_2, x_2*x_3^2-x_3};
o2 : Ideal of R
|
i3 : N = chordalNet I; |
i4 : chordalTria N; |
i5 : N
2
o5 = ChordalNet{ x => {x - 1, x , x - 1} }
0 0 0 0
x => {x , x - 1}
1 1 1
x => {x , x - 1}
2 2 2
x => {x , x - 1}
3 3 3
o5 : ChordalNet
|
i6 : nodes N
2
o6 = {x - 1, x , x - 1, x , x - 1, x , x - 1, x , x - 1}
0 0 0 1 1 2 2 3 3
o6 : List
|
i7 : nodes(N,x_0)
2
o7 = {x - 1, x , x - 1}
0 0 0
o7 : List
|
The object nodes is a method function with options.