An extremal problem for some classes of oriented graphs
K. Howalla, Abdallah N. Dabboucy, R. Tout (1983)
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K. Howalla, Abdallah N. Dabboucy, R. Tout (1983)
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Pavol Híc (1984)
Mathematica Slovaca
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Stanislav Jendroľ, Mária Ščerbová (1982)
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Susan A. van Aardt (2017)
Discussiones Mathematicae Graph Theory
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A digraph of order n is k-traceable if n ≥ k and each of its induced subdigraphs of order k is traceable. It is known that if 2 ≤ k ≤ 6, every k-traceable oriented graph is traceable but for k = 7 and for each k ≥ 9, there exist k-traceable oriented graphs that are nontraceable. We show that every 8-traceable oriented graph is traceable.