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On Some Tactical Configurations

Published online by Cambridge University Press:  20 November 2018

Haim Hanani
Haim Hanani*
Affiliation:
Technion, Israel Institute of Technology, Haifa, Israel
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Given a set E of v elements, and given positive integers k, l (l ≤ k ≤ v), and λ, we understand by a tactical configurationC[k, l, λ, v] (briefly, configuration) a system of subsets of E, having k elements each, such that every subset of E having l elements is contained in exactly λ sets of the system.

A necessary condition for the existence of a configuration C[k, l, λ, v] is known (6) to be

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 702 - 722
Copyright
Copyright © Canadian Mathematical Society 1963

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