Doubly resolvable nearly Kirkman triple systems

R. Julian R Abel, Nigel Chan, Charles Colbourn, E. R. Lamken, Chengmin Wang, Jinhua Wang

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

Necessary conditions for existence of a resolvable group divisible design (GDD) with block size 3 and type 2v/2 (a nearly Kirkman triple system, NKTS(v)), are v≥18 and v≡0 (mod 6). In this paper, we look at doubly resolvable NKTS(v)s; here we find that these necessary conditions are sufficient, except possibly for 64 values of v.

Original languageEnglish (US)
Pages (from-to)342-358
Number of pages17
JournalJournal of Combinatorial Designs
Volume21
Issue number8
DOIs
StatePublished - Aug 1 2013

Keywords

  • Kirkman square
  • doubly resolvable
  • frame AMS subject classification: 05B07
  • nearly Kirkman triple system

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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    Abel, R. J. R., Chan, N., Colbourn, C., Lamken, E. R., Wang, C., & Wang, J. (2013). Doubly resolvable nearly Kirkman triple systems. Journal of Combinatorial Designs, 21(8), 342-358. https://doi.org/10.1002/jcd.21342