Cycle-pancyclism in bipartite tournaments II

• 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 contained in T[V(γ)]? It is proved that for an even k in the range (n+6)/2 ≤ k ≤ n-2, there exists a directed cycle $C_{h(k)}$ of length h(k), h(k) ∈ {k,k-2} with $|A(C_{h(k)}) ∩ A(γ)| ≥ h(k)-4$ and the result is best possible. In a previous paper a similar result for 4 ≤ k ≤ (n+4)/2 was proved.

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: 3
• Strony: 529-538

Daty

wydano

2004

otrzymano

2003-09-10

poprawiono

2004-04-30

Twórcy

autor

Hortensia Galeana-Sánchez

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

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1250