Hostname: page-component-7dd5485656-gs9qr Total loading time: 0 Render date: 2025-10-31T05:17:47.994Z Has data issue: false hasContentIssue false
  • English
  • Français

On Critical r, λ-Systems

Published online by Cambridge University Press:  20 November 2018

J. Vranch
J. Vranch*
Affiliation:
The University of Western Ontario, London, Ontario, Canada
Rights & Permissions [Opens in a new window]

Summary

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.

Critical r, λ-systems are introduced such that any nontrivial r, λ-system must be an extension of some critical system. It is shown that parametric values for which critical systems can exist are restricted to λ(v-1) ≤ r(r-1) and, further, to λ(v-1)r(r-1) if the critical system is extendible.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 2 , 01 June 1976 , pp. 217 - 220
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Ryser, H. J., Combinatorial Mathematics, Wiley, 1963.10.5948/UPO9781614440147CrossRefGoogle Scholar
2. Stanton, R. G. and Mullin, R. C. Inductive Methods for BIBD’s, Ann. Math. Stat., 37 (1966), 1348–1354.CrossRefGoogle Scholar