A conjecture on 3-anti-quasi-transitive digraphs

Abstract

A digraph D is a 3-anti-quasi-transitive digraph, if for any four distinct vertices x0, x1, x2, x3 ∈ V (D) such that x0 → x1 ← x2 → x3, x0 and x3 are adjacent. Bang-Jensen conjectured (Bang-Jensen, 2004) that a 3-anti-quasi-transitive digraph is Hamiltonian if and only if it is strong and has a cycle factor. In this paper, we shall prove that this… (More)
DOI: 10.1016/j.disc.2013.12.026

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Cite this paper

@article{Wang2014ACO, title={A conjecture on 3-anti-quasi-transitive digraphs}, author={Ruixia Wang}, journal={Discrete Mathematics}, year={2014}, volume={322}, pages={48-52} }