Cycle-pancyclism in bipartite tournaments I

• Autorzy: Hortensia Galeana-Sánchez
• Języki publikacji: EN

Abstrakty

EN

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 $C_{h(k)}$ of length h(k), h(k) ∈ {k,k-2} with $|A(C_{h(k)}) ∩ A(γ)| ≥ h(k)-3$ 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.

Słowa kluczowe

EN

bipartite tournament; pancyclism

Kategorie tematyczne

• 05C20: Directed graphs (digraphs), tournaments

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2004
• Tom: 24
• Numer: 2
• Strony: 277-290

Daty

wydano

2004

Twórcy

autor

Hortensia Galeana-Sánchez

• Instituto de Matemáticas, UNAM, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510, México, D.F., MEXICO

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1231