Abstract | ||
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Let T he a partial latin square and L he a latin square with T subset of L. We say that T is a latin trade if there exists a partial latin square T' with T'boolean AND T =phi such that (L\T)boolean OR T' is a latin square. A k-homogeneous latin trade is one which intersects each row, each column and each entry either 0 or k times. In this paper, we construct 4-homogeneous latin trades from rectangular packings of the plane with circles. |
Year | Venue | Field |
---|---|---|
2005 | AUSTRALASIAN JOURNAL OF COMBINATORICS | Discrete mathematics,Infinitary combinatorics,Combinatorics,Existential quantification,Homogeneous,Latin square,Extremal combinatorics,Combinatorics and dynamical systems,Mathematics |
DocType | Volume | ISSN |
Journal | 32 | 2202-3518 |
Citations | PageRank | References |
5 | 0.77 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nicholas J. Cavenagh | 1 | 92 | 20.89 |
Diane Donovan | 2 | 72 | 33.88 |
Ales Drapal | 3 | 5 | 1.45 |