Note on a conjecture for group testing

Ming Guang Leu, Cheng Yih Lin, Shih Yung Weng

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Let M(d, n) denote the minimax number of group tests required for the identification of the d defectives in a set of n items. It was conjectured by Hu, Hwang and Wang that M(d, n) = n - 1 for n ≤ 3d, a surprisingly difficult combinatorial problem with very little known. The best known result is M(d, n) = n - 1 for n ≤ 42/16d by Du and Hwang. In this note we improve their result by proving M(d, n) = n - 1 for d ≥ 193 and n ≤ 43/16d.

Original languageEnglish
Pages (from-to)29-32
Number of pages4
JournalArs Combinatoria
Volume64
StatePublished - Jul 2002

Keywords

  • Group testing

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