Complementary cycles in regular bipartite tournaments: a proof of Manoussakis, Song and Zhang Conjecture - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier
Journal Articles Electronic Notes in Discrete Mathematics Year : 2017

Complementary cycles in regular bipartite tournaments: a proof of Manoussakis, Song and Zhang Conjecture

Stéphane Bessy
Jocelyn Thiebaut

Abstract

Let D be a k-regular bipartite tournament. We show that, for every even p with , D has a cycle C of size p such that is Hamiltonian unless D is isomorphic to a special digraph, . This result proves a conjecture of Manoussakis, Song and Zhang.
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lirmm-01713782 , version 1 (20-02-2018)

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Stéphane Bessy, Jocelyn Thiebaut. Complementary cycles in regular bipartite tournaments: a proof of Manoussakis, Song and Zhang Conjecture. Electronic Notes in Discrete Mathematics, 2017, 61, pp.115-121. ⟨10.1016/j.endm.2017.06.028⟩. ⟨lirmm-01713782⟩
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