randomShellableIdealChain -- Produces a chain of ideals from a random shelling

Usage:

L = randomShellableIdealChain(R,m,k)

L = randomShellableIdealChain(R,m)
Inputs:
- R, a ring, a polynomial ring
- m, an integer, dimension of the facets in the shellable complex
- k, an integer, the degree of the smallest ideal
Outputs:
- L, a list, list of Stanley-Riesner ideals of the simplicial complexes of the truncations of the shelling.

Description

i1 : R = ZZ/101[x_0..x_3];

i2 : L = randomShellableIdealChain(R,1)

o2 = {monomialIdeal (x , x ), monomialIdeal (x x , x ), monomialIdeal (x x ,
                      0   3                   0 1   3                   0 1 
     ------------------------------------------------------------------------
     x x , x x ), monomialIdeal (x x , x x , x x x ), monomialIdeal (x x ,
      0 3   1 3                   0 1   0 3   1 2 3                   0 1 
     ------------------------------------------------------------------------
     x x x , x x x ), monomialIdeal (x x x , x x x , x x x , x x x )}
      0 2 3   1 2 3                   0 1 2   0 1 3   0 2 3   1 2 3

o2 : List

Caveat

No claim is made on the distribution of the ideal.

Ways to use randomShellableIdealChain:

randomShellableIdealChain(Ring,ZZ)
randomShellableIdealChain(Ring,ZZ,ZZ)

For the programmer

The object randomShellableIdealChain is a method function.

The source of this document is in RandomIdeals.m2:760:0.

randomShellableIdealChain -- Produces a chain of ideals from a random shelling

Description

Caveat

See also

Ways to use randomShellableIdealChain:

For the programmer