Published January 1, 2020 | Version v1
Journal article Open

Globally simple Heffter arrays H(n; k) when k=0, 3 (mod 4)

  • 1. Univ Queensland, ARC Ctr Excellence Plant Success Nat & Agr, Sch Math & Phys, Brisbane, Qld 4072, Australia
  • 2. Univ Waikato, Dept Math, Private Bag 3105, Hamilton 3240, New Zealand
  • 3. Koc Univ, Dept Math, TR-34450 Istanbul, Turkey

Description

Square Heffter arrays are n x n arrays such that each row and each column contains k filled cells, each row and column sum is divisible by 2nk+1 and either x or -x appears in the array for each integer 1 <= x <= nk.

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