A structural property of trees with an application to vertex-arboricity (Q1992728)
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scientific article; zbMATH DE number 6972090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A structural property of trees with an application to vertex-arboricity |
scientific article; zbMATH DE number 6972090 |
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A structural property of trees with an application to vertex-arboricity (English)
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5 November 2018
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Summary: We provide a structural property of trees, which is applied to show that if a plane graph \(G\) contains two edge-disjoint spanning trees, then its dual graph \(G^\ast\) has the vertex-arboricity at most 2. We also show that every maximal plane graph of order at least 4 contains two edge-disjoint spanning trees.
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