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On well-quasi-ordering finite trees

Published online by Cambridge University Press:  24 October 2008

C. St. J. A. Nash-Williams
C. St. J. A. Nash-Williams
Affiliation:
King's College, Aberdeen
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Abstract

A new and simple proof is given of the known theorem that, if T1, T2,… is an infinite sequence of finite trees, then there exist i and j such that i < j and Ti is homeomorphic to a subtree of Tj.

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 4 , October 1963 , pp. 833 - 835
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

REFERENCES

(1)Higman, G.Ordering by divisibility in abstract algebras. Proc. London Math. Soc. (3), 2 (1952), 326–336CrossRefGoogle Scholar
(2)Kruskal, J. B.Well-quasi-ordering, the tree theorem, and Vázsonyi's conjecture. Trans. American Math. Soc 95 (1960), 210–225Google Scholar