Research Commons
      • Browse 
        • Communities & Collections
        • Titles
        • Authors
        • By Issue Date
        • Subjects
        • Types
        • Series
      • Help 
        • About
        • Collection Policy
        • OA Mandate Guidelines
        • Guidelines FAQ
        • Contact Us
      • My Account 
        • Sign In
        • Register
      View Item 
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Critical sets of 2-balanced Latin rectangles

      Cavenagh, Nicholas J.; Raass, Vaipuna
      Thumbnail
      Files
      balancedr2.pdf
      Accepted version, 159.4Kb
      DOI
       10.1007/s00026-016-0322-0
      Find in your library  
      Citation
      Export citation
      Cavenagh, N. J., & Raass, V. (2016). Critical sets of 2-balanced Latin rectangles. Annals of Combinatorics, 1–14. https://doi.org/10.1007/s00026-016-0322-0
      Permanent Research Commons link: https://hdl.handle.net/10289/11297
      Abstract
      An (m, n, 2)-balanced Latin rectangle is an (Formula presented.) array on symbols 0 and 1 such that each symbol occurs n times in each row and m times in each column, with each cell containing either two 0’s, two 1’s or both 0 and 1. We completely determine the structure of all critical sets of the full (m, n, 2)-balanced Latin rectangle (which contains 0 and 1 in each cell). If m, (Formula presented.), the minimum size for such a structure is shown to be (Formula presented.). Such critical sets in turn determine defining sets for (0, 1)-matrices.
      Date
      2016
      Type
      Journal Article
      Rights
      This is an author’s accepted version of an article published in the journal: Annals of Combinatorics. © 2016 Springer International Publishing.
      Collections
      • Computing and Mathematical Sciences Papers [1454]
      Show full item record  

      Usage

      Downloads, last 12 months
      97
       
       
       

      Usage Statistics

      For this itemFor all of Research Commons

      The University of Waikato - Te Whare Wānanga o WaikatoFeedback and RequestsCopyright and Legal Statement