Progress on the traceability conjecture for oriented graphs
Abstract
A digraph is k-traceable if each of its induced subdigraphs of order k is traceable. The Traceability Conjecture is that for k ≥ 2 every k-traceable oriented graph of order at least 2k − 1 is traceable. The conjecture has been proved for k ≤ 5. We prove that it also holds for k = 6.
Domains
Discrete Mathematics [cs.DM]
Origin : Files produced by the author(s)
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