Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs (Q949799)
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| Language | Label | Description | Also known as |
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| English | Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs |
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Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs (English)
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21 October 2008
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Simplicial complexes with a special ordering on their facets are called forests and quasi-forests due to their resemblance to graph theoretical forests. It is known that a forest is always a clique complex of a strongly chordal graphs, while a quasi-forest is always a clique complex of a chordal graph. This paper proves Kruskal-Katona type results on forests and quasi-forests.
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Kruskal-Katona theorem
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simplicial complexes
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clique complex
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\(f\)-vectors
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chordal graph
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