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A digraph of order at least k is k-traceable if each of its subdigraphs of order k is traceable. We note that 2-traceable oriented graphs are tournaments and for k≥3, k-traceable oriented graphs can be regarded as generalized tournaments. We show that for 2≤k≤6 every k-traceable oriented graph is traceable, thus extending the well-known fact that every tournament is traceable. This result does not...
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