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About: Perfect matrix     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Matrix108267640, within Data Space : dbpedia.org associated with source document(s)

Type: yago:WikicatMatricesyago:Abstraction100002137yago:Arrangement107938773yago:Array107939382yago:Group100031264yago:Matrix108267640 New Facet based on Instances of this Class

In mathematics, a perfect matrix is an m-by-n binary matrix that has no possible k-by-k submatrix K that satisfies the following conditions: * k > 3 * the row and column sums of K are each equal to b, where b ≥ 2 * there exists no row of the (m − k)-by-k submatrix formed by the rows not included in K with a row sum greater than b. The following is an example of a K submatrix where k = 5 and b = 2: