Hostname: page-component-8448b6f56d-mp689 Total loading time: 0 Render date: 2024-04-24T10:11:52.845Z Has data issue: false hasContentIssue false
  • English
  • Français

Some Remarks on a Combinatorial Theorem of Erdös and Rado

Published online by Cambridge University Press:  20 November 2018

H. L. Abbott
H. L. Abbott*
Affiliation:
University of Alberta, Edmonton
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

P. Erdös and R. Rado [1] proved that to each pair of positive integers n and k, with k ≥ 3, there corresponds a least positive integer φ(n, k) such that if is a family of more than φ(n, k) sets, each set with n elements, then some k of the sets have pair-wise the same intersection.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 2 , June 1966 , pp. 155 - 160
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Erdös, P. and Rado, R., Intersection theorems for systems of sets, Jour. Lon. Math. Soc, 35 (1960) pp. 85-90.Google Scholar
2. Erdös, P., On a problem in elementary number theory and a combinatorial problem. Math. of Comp., 18, No. 88, (1964) pp. 644-646.Google Scholar