Elsevier

Discrete Mathematics

Volume 92, Issues 1–3, 17 November 1991, Pages 371-393
Discrete Mathematics

A survey of Kirkman triple systems and related designs

Dedicated to Professor R.G. Stanton on occasion of his 68th birthday.
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Abstract

The purpose of this paper is to survey results on Kirkman triple systems and generalizations. These generalizations include nearly Kirkman triple systems and resolvable group-divisible designs with block size three, Kirkman frames, Kirkman triple systems containing Kirkman and/or Steiner triple systems as subsystems, non-isomorphic Kirkman systems, and orthogonal resolutions of Kirkman systems.

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Research supported by NSERC Operating Grant A9287.

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Current address: Computer Science and Engineering, University of Nebraska, Lincoln, NE 68588, USA