Browsing by Author "Donovan, Diane M."

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  • Biembeddings of cycle systems using integer Heffter arrays

    Cavenagh, Nicholas J.; Donovan, Diane M.; Yazıcı, Emine S. (Wiley, 2020)
    In this paper, we use constructions of Heffter arrays to verify the existence of face 2‐colorable embeddings of cycle decompositions of the complete graph. Specifically, for n ≡ 1 (mod 4) and k ≡3(mod 4), n k ≫ ⩾ 7 and ...
  • Orthogonal trades in complete sets of MOLS

    Cavenagh, Nicholas J.; Donovan, Diane M.; Demirkale, Fatih (The Electronic Journal of Combinatorics, 2017)
    Let Bₚ be the Latin square given by the addition table for the integers modulo an odd prime p (i.e. the Cayley table for (Zₚ, +)). Here we consider the properties of Latin trades in Bₚ which preserve orthogonality with one ...

Diane M. Donovan has 3 co-authors in Research Commons.