Dense graphs with cycle neighborhoods (Q1892847)
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scientific article; zbMATH DE number 767695
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dense graphs with cycle neighborhoods |
scientific article; zbMATH DE number 767695 |
Statements
Dense graphs with cycle neighborhoods (English)
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2 July 1995
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For all \(\varepsilon > 0\), we construct graphs with \(n\) vertices and \(> n^{2-\varepsilon}\) edges, for arbitrarily large \(n\), such that the neighborhood of each vertex is a cycle. This result is asymptotically best possible.
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dense graphs
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cycle neighborhoods
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clean triangulation
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extremal graph
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neighborhood
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cycle
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