Table of Contents
International Journal of Combinatorics
Volume 2016 (2016), Article ID 7092474, 6 pages
http://dx.doi.org/10.1155/2016/7092474
Research Article

A New Relationship between Block Designs

179-337 Moskovsky pr., Saint Petersburg 196084, Russia
2Department of Mathematics, University of Sherbrooke, 2500 Boulevard de l’Université, Sherbrooke, QC, Canada J1K 2R1

Received 15 April 2016; Accepted 29 June 2016

Academic Editor: Jean-Yves Thibon

Copyright © 2016 Alexander Shramchenko and Vasilisa Shramchenko. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. T. Beth, D. Jungnickel, and H. Lenz, Design Theory, Volume I, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, 2nd edition, 1999.
  2. C. J. Colbourn and J. H. Dinitz, Eds., Handbook of Combinatorial Designs, Discrete Mathematics and Its Applications, Chapman & Hall/CRC, Boca Raton, Fla, USA, 2nd edition, 2007.
  3. K. A. Rybnikov, Vvedenie v Kombinatornyi Analiz, Izdat. Moskov. Univ., Moscow, Russia, 1972 (Russian).
  4. W. G. Cochran and G. M. Cox, Experimental Designs, John Wiley & Sons, New York, NY, USA; Chapman & Hall, London, UK, 2nd edition, 1957.
  5. M. Beck and T. Zaslavsky, “A Meshalkin theorem for projective geometries,” Journal of Combinatorial Theory. Series A, vol. 102, no. 2, pp. 433–441, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  6. M. J. Logan and S. Shahriari, “A new matching property for posets and existence of disjoint chains,” Journal of Combinatorial Theory, Series A, vol. 108, no. 1, pp. 77–87, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus