Non-hamiltonian polyhedral graphs with two types of faces (Q1970704)
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scientific article; zbMATH DE number 1420378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-hamiltonian polyhedral graphs with two types of faces |
scientific article; zbMATH DE number 1420378 |
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Non-hamiltonian polyhedral graphs with two types of faces (English)
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15 September 2000
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It is proved that in the class \(\mathcal G_5(5, q)\) of cubic cyclically 5-connected polyhedral graphs with only 5-gons and \(q\)-gons as faces for \(q \geq 8\) and \(q \notin \{13, 16, 18, 21\}\) there are infinitely many non-hamiltonian graphs. It is an open question whether for \(q \in \{6, 7, 13, 16, 18, 21\}\) the class \(\mathcal G_5(5, q)\) has a non-hamiltonian member.
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cyclically 5-connected graphs
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polyhedral graphs
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cubic graphs
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shortness coefficient
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non-hamiltonian graphs
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