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Extending cycles in directed graphs - MaRDI portal

Extending cycles in directed graphs (Q580359)

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scientific article; zbMATH DE number 4016927
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English
Extending cycles in directed graphs
scientific article; zbMATH DE number 4016927

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    Extending cycles in directed graphs (English)
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    1989
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    A digraph D is called cycle extendable if it contains at least one cycle and the vertices of each nonhamiltonian cycle are contained in a cycle of length one greater. Strong tournaments and regular tournaments which are cycle extendable are characterized. Best possible sufficient conditions for a digraph to be cycle extendable are found involving the number of arcs, minimum total degree and minimum indegree and outdegree.
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    digraph
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    cycle extendable
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    strong tournaments
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    regular tournaments
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