Contents

Ars Combinatoria

  • Research article

Embedding Partial Extended Triple Systems when \(\lambda \geq 2\)

M.E. Raines1, C.A. Rodger1
1Department of Discrete and Statistical Sciences 120 Math Annex Auburn University, Alabama USA 36849-5307
  • Published: 31/10/1999

Abstract

In this paper, it is shown that any partial extended triple system of order \(n\) and index \(\lambda \geq 2\) can be embedded in an extended triple system of order \(v\) and index \(\lambda\) for all even \(v \geq 4n + 6\). This extends results known when \(\lambda = 1\).

Citation
M.E. Raines, C.A. Rodger. Embedding Partial Extended Triple Systems when \(\lambda \geq 2\)[J], Ars Combinatoria, Volume 053. 33-72. .