Marietjie Frick ; Peter Katrenič - Progress on the traceability conjecture for oriented graphs

dmtcs:428 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, Vol. 10 no. 3 - https://doi.org/10.46298/dmtcs.428
Progress on the traceability conjecture for oriented graphs

Authors: Marietjie Frick ORCID-iD1; Peter Katrenič 2

  • 1 Department of Mathematical Sciences [South Africa]
  • 2 Institute of Mathematics [Kosice, Slovakia]

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.

https://doi.org/10.46298/dmtcs.428
Source: HAL:hal-00972339v1
Volume: Vol. 10 no. 3
Section: Graph and Algorithms
Published on: January 1, 2008
Imported on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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Source : ScholeXplorer IsRelatedTo DOI 10.1016/0012-365x(83)90188-7
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Every finite strongly connected digraph of stability 2 has a Hamiltonian path

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