Helly Property for Subtrees
Jessica Enright ; Piotr Rudnicki
Formalized Mathematics, Tome 16 (2008), p. 91-96 / Harvested from The Polish Digital Mathematics Library

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

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:266859
@article{bwmeta1.element.doi-10_2478_v10037-008-0013-3,
     author = {Jessica Enright and Piotr Rudnicki},
     title = {Helly Property for Subtrees},
     journal = {Formalized Mathematics},
     volume = {16},
     year = {2008},
     pages = {91-96},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0013-3}
}
Jessica Enright; Piotr Rudnicki. Helly Property for Subtrees. Formalized Mathematics, Tome 16 (2008) pp. 91-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0013-3/

[1] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. | Zbl 06213858

[2] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.

[3] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.

[4] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.

[5] M. Ch. Golumbic. Algorithmic Graph Theory and Perfect Graphs. Academic Press, New York, 1980.

[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.