randomSimplicialComplex -- the chainComplex over ZZ of a random Stanley-Reisner simplicial complex

Synopsis

• Usage:

  C = randomSimplicialComplex(k,n)

• Inputs:
  • k, an integer,
  • n, an integer,
• Outputs:
  • C, a chain complex, the chainComplex of the Stanley-Reisner simplicial complex of a random square free monomial ideal in k+1 variables and n generators

Description

i1 : setRandomSeed "nice example 2";

i2 : C = randomSimplicialComplex(7,20)

       8       24       34       21       3
o2 = ZZ  <-- ZZ   <-- ZZ   <-- ZZ   <-- ZZ
                                         
     0       1        2        3        4

o2 : ChainComplex

i3 : prune HH C

           1
o3 = 0 : ZZ

     1 : 0  

     2 : 0  

           1
     3 : ZZ

     4 : 0  

o3 : GradedModule

See also

• SVDComplexes -- support for computing homology, ranks and SVD complexes, for a chain complex over the real numbers