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SimplicialHomology

Guides

  • SimplicialHomology

Symbols

  • BettiNumber
  • ChainComplex
  • HomologyGroup
  • RandomSimplicialComplex
  • SimplicialAutomorphismGroup
  • SimplicialComplex
  • SimplicialCone
  • SimplicialIsomorphicQ
  • SimplicialJoin
  • SimplicialLink
  • SimplicialProduct
  • SimplicialStar
  • SimplicialSuspension
  • SubComplexQ
Taggar`SimplicialHomology`
RandomSimplicialComplex
​
RandomSimplicialComplex
[n,d,p]
generates a random
d
-dimensional simplicial complex on
n
vertices.
​
Details and Options
▪
n
specifies the number of vertices of the simplicial complex;
d
specifies the dimension of the simplicial complex; and
0⩽p⩽1
specifies the probability that each possible
d
-simplex is included. The default value for
p
is 1/2.
Examples  
(4)
Basic Examples  
(1)
Generate random simplicial complexes:
In[1]:=
RandomSimplicialComplex
[6,2]
Out[1]=
SimplicialComplex
Dimension: 2
Vertices: 6

In[2]:=
RandomSimplicialComplex
[8,1]
Out[2]=
SimplicialComplex
Dimension: 1
Vertices: 8

In[3]:=
RandomSimplicialComplex
[10,3]
Out[3]=
SimplicialComplex
Dimension: 3
Vertices: 10

Scope  
(1)

Applications  
(2)

SeeAlso
SimplicialComplex
""

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