Directed covering with block size 5 and v even

Ahmed M. Assaf, H. Alhalees, L. P.S. Singh

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A directed covering design, DC(v, k, λ), is a (v, k, 2λ) covering design in which the blocks are regarded as ordered k-tuples and in which each ordered pair of elements occurs in at least λ blocks. Let DE(v, k, λ) denote the minimum number of blocks in a DC(v, k, λ). In this paper the values of the function DE(v, 5, λ) are determined for all even integers v ≥ 5 and λ odd.

Original languageEnglish
Pages (from-to)3-24
Number of pages22
JournalAustralasian Journal of Combinatorics
Volume28
StatePublished - 2003

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