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Non-Hamiltonian bicubic graphs - MaRDI portal

Non-Hamiltonian bicubic graphs (Q1120592)

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scientific article; zbMATH DE number 4101245
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Non-Hamiltonian bicubic graphs
scientific article; zbMATH DE number 4101245

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    Non-Hamiltonian bicubic graphs (English)
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    1989
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    A graph is said to be bicubic if it is bipartite and 3-regular. A graph is said to be cyclically 4-edge connected if any set of edges whose removal separates the graph into two parts both containing circuits, contains at least 3 edges. In the note, a non-Hamiltonian cyclically 4-edge connected bicubic graph of order 50 is constructed. This is the smallest non-Hamiltonian 3- connected bicubic graph known.
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    bipartite
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    3-regular
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    bicubic graph
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