Subdivision yields Alexander duality on independence complexes (Q1028864)
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scientific article; zbMATH DE number 5576458
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subdivision yields Alexander duality on independence complexes |
scientific article; zbMATH DE number 5576458 |
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Subdivision yields Alexander duality on independence complexes (English)
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8 July 2009
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Summary: We study how the homotopy type of the independence complex of a graph changes if we subdivide edges. We show that the independence complex becomes the Alexander dual if we place one new vertex on each edge of a graph. If we place two new vertices on each edge then the independence complex is the wedge of two spheres. Placing three new vertices on an edge yields the suspension of the independence complex.
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