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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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<Verb>CliqueComplex(G,n):: Graph, Int --> SimplicialComplex</Verb>
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<Verb>CliqueComplex(F,n):: FilteredGraph, Int --> FilteredSimplicialComplex</Verb>
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<Verb>CliqueComplex(K,n):: SimplicialComplex, Int --> SimplicialComplex</Verb><P/>
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<P/> Inputs a graph <M>G</M> and integer <M>n \ge 1</M>. It
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returns the <M>n</M>-skeleton of a simplicial complex <M>K</M> with
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one <M>k</M>-simplex for each complete subgraph of <M>G</M> on <M>k+1</M>
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vertices.
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<P/> Inputs a fitered graph <M>F</M> and integer <M>n \ge 1</M>. It
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returns the <M>n</M>-skeleton of a filtered
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simplicial complex <M>K</M> whose <M>t</M>-term has one
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<M>k</M>-simplex for each complete subgraph of the <M>t</M>-th term
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of <M>G</M> on <M>k+1</M>
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vertices.
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<P/> Inputs a simplicial complex of dimension <M>d=1</M> or <M>d=2</M>. If
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<M>d=1</M> then the clique complex of a graph returned. If
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<M>d=2</M> then the clique complex of a $2$-complex is returned.
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