On Some Tactical Configurations
On Some Tactical Configurations
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DOI：
10.4153/cjm-1963-069-5
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发表时间：
1963
期刊：
影响因子：
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通讯作者：
H. Hanani
中科院分区：
文献类型：
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作者：
H. Hanani
给定v个元素的集合E，并给定正整数k，l（l ≤ k ≤ v）和λ，我们通过战术配置C[k，l，λ，v]（简称配置）理解E的子集系统，每个子集有k个元素，使得E的每个有l个元素的子集恰好包含在系统的λ个集合中。已知配置C[k，l，λ，v]存在的必要条件为（6）：
Given a set E of v elements, and given positive integers k, l (l ≤ k ≤ v), and λ, we understand by a tactical configuration C[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