Helly Property for Subtrees

• Autorzy: Jessica Enright , Piotr Rudnicki
• Języki publikacji: EN

Abstrakty

EN

We prove, following [5, p. 92], that any family of subtrees of a finite tree satisfies the Helly property.MML identifier: HELLY, version: 7.8.09 4.97.1001

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2008
• Tom: 16
• Numer: 2
• Strony: 91-96

Daty

wydano

2008-01-01

online

2009-03-20

Twórcy

autor

Jessica Enright

• University of Alberta, Edmonton, Canada

autor

Piotr Rudnicki

• University of Alberta, Edmonton, Canada

Bibliografia

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• [6] Gilbert Lee. Trees and graph components. Formalized Mathematics, 13(2):271-277, 2005.
• [7] Gilbert Lee. Walks in graphs. Formalized Mathematics, 13(2):253-269, 2005.
• [8] Gilbert Lee and Piotr Rudnicki. Alternative graph structures. Formalized Mathematics, 13(2):235-252, 2005.
• [9] Yatsuka Nakamura and Piotr Rudnicki. Vertex sequences induced by chains. Formalized Mathematics, 5(3):297-304, 1996.
• [10] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990.
• [11] Piotr Rudnicki and Andrzej Trybulec. Abian's fixed point theorem. Formalized Mathematics, 6(3):335-338, 1997.
• [12] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.

Identyfikatory

DOI

10.2478/v10037-008-0013-3