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.
Non-Regular Square Bipartite Designs
NOBILI, Paolo
2002-01-01
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.File in questo prodotto:
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