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Ars Combinatoria

  • Research article

On Exact Minimal \((1,5)\)-Covers of Thirteen Points

S.S. Sane1, M.S. Shrikhande2
1Department of Mathematics University of Bombay Bombay — 98 INDIA
2 Mathematics Department Central Michigan University Mt. Pleasant, MI 48859 U.S.A.
  • Published: 31/12/1991

Abstract

In “On the exact minimal (1, 4)-cover of twelve points” (\textit{Ars Combinatoria} 27, 3–18, 1989), Sane proved that if \(E\) is an exact minimal (1, 5)-cover of nineteen points, then \(E\) has 282, 287, 292, or 297 blocks. Here we rule out the first possibility.

Citation
S.S. Sane, M.S. Shrikhande. On Exact Minimal \((1,5)\)-Covers of Thirteen Points[J], Ars Combinatoria, Volume 032. 215-219. .