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New families of atomic Latin squares and perfect 1-factorisations

  • Published:2006-05 Issue:4 Volume:113 Page:608-624
  • ISSN:0097-3165
  • Container-title:Journal of Combinatorial Theory, Series A
  • language:en
  • Short-container-title:Journal of Combinatorial Theory, Series A

Author:

Bryant Darryn,Maenhaut Barbara,Wanless Ian M.

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference20 articles.

1. Sequencings and starters;Anderson;Pacific J. Math.,1976

2. Symmetry groups of some perfect 1-factorizations of complete graphs;Anderson;Discrete Math.,1977

3. D. Bryant, M. Buchanan, I.M. Wanless, The spectrum for quasigroups with cyclic automorphisms and additional symmetries, submitted for publication.

4. A family of perfect factorisations of complete bipartite graphs;Bryant;J. Combin. Theory Ser. A,2002

5. Trains: an invariant for Steiner triple systems;Colbourn;Ars Combin.,1982

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1. Row‐Hamiltonian Latin squares and Falconer varieties;Proceedings of the London Mathematical Society;2023-12-19

2. Cycles of quadratic Latin squares and antiperfect 1‐factorisations;Journal of Combinatorial Designs;2023-07-10

3. Perfect One-Factorizations Arising from the Lee Metric;Graphs and Combinatorics;2022-12-27

4. There are 3155 nonisomorphic perfect one‐factorizations of K 16;Journal of Combinatorial Designs;2019-11-03

5. PERFECT 1-FACTORISATIONS OF;Bulletin of the Australian Mathematical Society;2019-08-07
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