Packing designs with block size 5 and indexes 8, 12, 16
نویسندگان
چکیده
منابع مشابه
Packing Designs with Block Size 5 and Indexes 8, 12, 16
A (u, K, 1) packing design of order o, block size K, and index I is a collection of K-element subsets, called blocks of a set V such that every 2-subset of V occurs in at most 1 blocks. The packing problem is to determine the maximum number of blocks in a packing design. In this paper we solve the packing problem with K = 5, 1=8, 12, 16, and all positive integers o with the possible exceptions ...
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Assaf, A.M., A. Hartman and N. Shalaby, Packing designs with block size 6 and index 5, Discrete Mathematics 103 (1992) 121-128. A (v, K, A) packing design of order v, block size K and index 1 is a collection of K-element subsets, called blocks, of a v-set V such that every 2-subset of V occurs in at most I blocks. The packing problem is to determine the maximum number of blocks in a packing des...
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Let V be a finite set of order v. A (V,K,A) packing design of index A and block size IC is a collection of K-element subsets, called blocks, such that every 2-subset of V occurs in at most A blocks. The packing problem is to determine the maximum number of blocks, D(V,K,A), in a packing design. It is well known that D(V,K,A) S [-i [:=~ ~]] : : t(VIK,~), where [xl is the largest integer satisfyi...
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An (v, •, 2) packing design of order v, block size ~, and index 2 is a collection of ~:-element subsets, called blocks, of a set V such that every 2-subsets of V occurs in at most 2 blocks. The packing problem is to determine the maximum number of blocks in a packing design. In this paper we provide a powerful technique for constructing designs and solve the packing problem in the case tc = 5, ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1992
ISSN: 0097-3165
DOI: 10.1016/0097-3165(92)90095-c