The existence of square integer Heffter arrays

DOI10.26493/1855-3974.1121.fbfzbMath1379.05021OpenAlexW4242345354MaRDI QIDQ4597484

Jeffrey H. Dinitz, Ian M. Wanless

Publication date: 13 December 2017

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/1855-3974.1121.fbf

zbMATH Keywords

biembeddingHeffter array

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (21)

Non-zero sum Heffter arrays and their applications ⋮ Magic rectangles, signed magic arrays and integer $\lambda$-fold relative Heffter arrays ⋮ Rectangular Heffter arrays: a reduction theorem ⋮ A problem on partial sums in abelian groups ⋮ Weak Heffter arrays and biembedding graphs on non-orientable surfaces ⋮ Constructing generalized Heffter arrays via near alternating sign matrices ⋮ On the existence of integer relative Heffter arrays ⋮ Conservative trees ⋮ A generalization of Heffter arrays ⋮ Tight globally simple nonzero sum Heffter arrays and biembeddings ⋮ Orthogonal cycle systems with cycle length less than 10 ⋮ Some new results about a conjecture by Brian Alspach ⋮ Unnamed Item ⋮ Existence of some signed magic arrays ⋮ A tour problem on a toroidal board ⋮ On \(\lambda\)-fold relative Heffter arrays and biembedding multigraphs on surfaces ⋮ The existence of square non-integer Heffter arrays ⋮ Globally simple heffter arrays \(H ( n ; k )\) when \(k \equiv 0 , 3 \pmod 4 \) ⋮ Globally simple Heffter arrays and orthogonal cyclic cycle decompositions ⋮ Relative Heffter arrays and biembeddings ⋮ Mutually orthogonal cycle systems

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