Cycle-pancyclism in bipartite tournaments I
Hortensia Galeana-Sánchez
Discussiones Mathematicae Graph Theory, Tome 24 (2004), p. 277-290 / Harvested from The Polish Digital Mathematics Library
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Let T be a hamiltonian bipartite tournament with n vertices, γ a hamiltonian directed cycle of T, and k an even number. In this paper, the following question is studied: What is the maximum intersection with γ of a directed cycle of length k? It is proved that for an even k in the range 4 ≤ k ≤ [(n+4)/2], there exists a directed cycle Ch(k) of length h(k), h(k) ∈ k,k-2 with |A(Ch(k))∩A(γ)|≥h(k)-3 and the result is best possible. In a forthcoming paper the case of directed cycles of length k, k even and k < [(n+4)/2] will be studied.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:270672 
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Hortensia Galeana-Sánchez. Cycle-pancyclism in bipartite tournaments I. Discussiones Mathematicae Graph Theory, Tome 24 (2004) pp. 277-290. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1231/

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