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EnglishA square bipartite design is a pair of square 0-1 matrices A and B satisfying the following matrix equation: A(T)B=lambdaJ+diag(d). where J is a matrix filled with all ones, lambda is a positive integer, and diag(d) is a diagonal matrix with the vector d in the diagonal. We give a characterization of a class of non-regular square bipartite designs; our result generalizes some earlier results of De Bruijn and Erdos, Lehman, and Gasparyan.
| Titolo: | Non-Regular Square Bipartite Designs |
| Autori: | |
| Data di pubblicazione: | 2002 |
| Rivista: | |
| Abstract: | A square bipartite design is a pair of square 0-1 matrices A and B satisfying the following matrix equation: A(T)B=lambdaJ+diag(d). where J is a matrix filled with all ones, lambda is a positive integer, and diag(d) is a diagonal matrix with the vector d in the diagonal. We give a characterization of a class of non-regular square bipartite designs; our result generalizes some earlier results of De Bruijn and Erdos, Lehman, and Gasparyan. |
| Handle: | http://hdl.handle.net/11587/107188 |
| Appare nelle tipologie: | Articolo pubblicato su Rivista |
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