Helly Property for Subtrees

Jessica Enright; Piotr Rudnicki

Formalized Mathematics (2008)

  • Volume: 16, Issue: 2, page 91-96
  • ISSN: 1426-2630

Abstract

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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

How to cite

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Jessica Enright, and Piotr Rudnicki. "Helly Property for Subtrees." Formalized Mathematics 16.2 (2008): 91-96. <http://eudml.org/doc/266859>.

@article{JessicaEnright2008,
abstract = {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},
author = {Jessica Enright, Piotr Rudnicki},
journal = {Formalized Mathematics},
language = {eng},
number = {2},
pages = {91-96},
title = {Helly Property for Subtrees},
url = {http://eudml.org/doc/266859},
volume = {16},
year = {2008},
}

TY - JOUR
AU - Jessica Enright
AU - Piotr Rudnicki
TI - Helly Property for Subtrees
JO - Formalized Mathematics
PY - 2008
VL - 16
IS - 2
SP - 91
EP - 96
AB - 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
LA - eng
UR - http://eudml.org/doc/266859
ER -

References

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  1. [1] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. Zbl06213858
  2. [2] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990. 
  3. [3] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. 
  4. [4] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990. 
  5. [5] M. Ch. Golumbic. Algorithmic Graph Theory and Perfect Graphs. Academic Press, New York, 1980. 
  6. [6] Gilbert Lee. Trees and graph components. Formalized Mathematics, 13(2):271-277, 2005. 
  7. [7] Gilbert Lee. Walks in graphs. Formalized Mathematics, 13(2):253-269, 2005. 
  8. [8] Gilbert Lee and Piotr Rudnicki. Alternative graph structures. Formalized Mathematics, 13(2):235-252, 2005. 
  9. [9] Yatsuka Nakamura and Piotr Rudnicki. Vertex sequences induced by chains. Formalized Mathematics, 5(3):297-304, 1996. 
  10. [10] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990. 
  11. [11] Piotr Rudnicki and Andrzej Trybulec. Abian's fixed point theorem. Formalized Mathematics, 6(3):335-338, 1997. 
  12. [12] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 

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