1. On the inclusion matrix [formula omitted].
- Author
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Ahmadi, M.H., Akhlaghinia, N., Khosrovshahi, G.B., and Maysoori, Ch.
- Subjects
- *
MATRICES (Mathematics) , *GAUSSIAN elimination , *ALGORITHMS , *MATHEMATICAL analysis , *CLASSIFICATION - Abstract
For a v -set X , W 23 ( v ) is a ( v 2 ) × ( v 3 ) inclusion matrix where rows and columns are indexed by pairs and triples of X , respectively, and for row T and column K , W 23 ( v ) ( T , K ) = 1 if T ⊆ K and zero otherwise. In this paper, we classify the basis elements of the null Z ( W 23 ( v ) ) , derived from the Gaussian elimination on W 23 ( v ) (called standard basis), into five classes. Then, we present a new algorithm to construct a ( 2 , 3 , v ) -halving for a feasible v , i.e. a nowhere zero T ( 2 , 3 , v ) -trade. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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