The existence of square non-integer Heffter arrays
نویسندگان
چکیده
منابع مشابه
Square integer Heffter arrays with empty cells
A Heffter array H(m,n; s, t) is an m× n matrix with nonzero entries from Z2ms+1 such that i) each row contains s filled cells and each column contains t filled cells, ii) every row and column sum to 0, and iii) no element from {x,−x} appears twice. Heffter arrays are useful in embedding the complete graph K2nm+1 on an orientable surface where the embedding has the property that each edge border...
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A Heffter array is an m× n matrix with nonzero entries from Z2mn+1 such that i) every row and column sum to 0, and ii) exactly one of each pair {x,−x} of nonzero elements appears in the array. We construct some Heffter arrays. These arrays are used to build current graphs used in topological graph theory. In turn, the current graphs are used to embed the complete graph K2mn+1 so that the faces ...
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ژورنال
عنوان ژورنال: Ars Mathematica Contemporanea
سال: 2019
ISSN: 1855-3974,1855-3966
DOI: 10.26493/1855-3974.1817.b97