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Cycles in \(k\)-traceable oriented graphs

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Publication:641171
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DOI10.1016/j.disc.2011.05.032zbMath1234.05116OpenAlexW2016857938MaRDI QIDQ641171

Juan-Miguel Gracia

Publication date: 21 October 2011

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.05.032


zbMATH Keywords

oriented graphtournament\(k\)-traceablepath partition conjecturepancyclic digraphtraceability conjecture


Mathematics Subject Classification ID

Paths and cycles (05C38) Directed graphs (digraphs), tournaments (05C20)


Related Items (4)

Every 8-traceable oriented graph is traceable ⋮ Computational results on the traceability of oriented graphs of small order ⋮ Forbidden subdigraphs conditions on the traceability conjecture ⋮ A linear bound towards the traceability conjecture




Cites Work

  • The path partition conjecture is true for claw-free graphs
  • Traceability of \(k\)-traceable oriented graphs
  • A traceability conjecture for oriented graphs
  • In-tournament digraphs
  • Longest path partitions in generalizations of tournaments
  • When the cartesian product of two directed cycles is hypo-Hamiltonian
  • The directed path partition conjecture
  • On Subtournaments of a Tournament
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