Graphs where every maximal path is maximum (Q1924151)
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scientific article; zbMATH DE number 934818
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Graphs where every maximal path is maximum |
scientific article; zbMATH DE number 934818 |
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Graphs where every maximal path is maximum (English)
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21 April 1997
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In 1974, C. Thomassen gave a characterization of all graphs in which each path is contained in a Hamiltonian path. Such graphs are of interest since they admit greedy algorithms for constructing Hamiltonian paths. For graphs without a Hamiltonian path, it is natural to ask whether each path is contained in a path of maximal length. In the present paper the author characterizes all connected graphs without a Hamiltonian path having this property.
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characterization
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Hamiltonian path
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path of maximal length
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