On \(m\)-convexity and centers of chordal graphs (Q1813077)
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scientific article; zbMATH DE number 2220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(m\)-convexity and centers of chordal graphs |
scientific article; zbMATH DE number 2220 |
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On \(m\)-convexity and centers of chordal graphs (English)
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25 June 1992
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We demonstrate that the center of a chordal graph is not only connected but contains no junction points, i.e., is a block. The proof is based on a new characterization of chordal graphs which is itself of interest; namely, we show that a connected graph is a chordal graph if and only if all of its spheres are \(m\)-convex.
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center
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chordal graph
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spheres
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0.8058125972747803
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0.7649526000022888
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0.7621184587478638
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