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Hamilton cycles in oriented graphs. (English) Zbl 0795.05087
Author’s abstract: It is shown that an oriented graph of order \(n\) whose every indegree and outdegree is at least \(cn\) is hamiltonian if \(c \geq {1 \over 2} - 2^{-15}\) but need not be if \(c<{3 \over 8}\).

MSC:
05C45 Eulerian and Hamiltonian graphs
05C20 Directed graphs (digraphs), tournaments
05C35 Extremal problems in graph theory
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References:
[1] Thomassen, London Math. Soc. Lecture Notes 38 pp 211– (1979)
[2] DOI: 10.1112/plms/s3-42.2.231 · Zbl 0454.05029 · doi:10.1112/plms/s3-42.2.231
[3] DOI: 10.1002/jgt.3190050204 · Zbl 0458.05041 · doi:10.1002/jgt.3190050204
[4] Bondy, Graph Theory with Applications (1976) · Zbl 1226.05083 · doi:10.1007/978-1-349-03521-2
[5] DOI: 10.1007/BF02122681 · Zbl 0681.05036 · doi:10.1007/BF02122681
[6] Häggkvist, 9th British Combinatorial Conference (1983)
[7] Hajnal, Colloq. Math. Soc. J. Bolyai 4 pp 601– (1970)
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