On packing designs with block size 5 and index 4

Ahmed M. Assaf; Alan Hartman

doi:10.1016/0012-365X(90)90027-F

On packing designs with block size 5 and index 4

Research output: Contribution to journal › Article › peer-review

Abstract

A (v,k,λ) packing design of order v, block size k, and index λ 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 λ 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, λ=4, and all positive integers v.

Original language	English
Pages (from-to)	111-121
Number of pages	11
Journal	Discrete Mathematics
Volume	79
Issue number	2
DOIs	https://doi.org/10.1016/0012-365X(90)90027-F
State	Published - 15 Jan 1990
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/0012-365X(90)90027-F

Cite this

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abstract = "A (v,k,λ) packing design of order v, block size k, and index λ 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 λ 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, λ=4, and all positive integers v.",

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On packing designs with block size 5 and index 4

Abstract

ASJC Scopus subject areas

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