Hamiltonicity, minimum degree and leaf number (Q1677599)
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scientific article; zbMATH DE number 6806134
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hamiltonicity, minimum degree and leaf number |
scientific article; zbMATH DE number 6806134 |
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Hamiltonicity, minimum degree and leaf number (English)
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10 November 2017
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Let \(G\) be a graph. Then the leaf number of \(G\), denoted by \(L(G)\), is the maximum number of leaves in a spanning tree of \(G\). It is shown that if \(G\) is a connected graph with minimum degree \(\delta (G)\) such that \(\delta (G)\geq \frac{L(G)}{2}+1\) then \(G\) is Hamiltonian.
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Hamiltonicity
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traceability
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minimum degree
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leaf number
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