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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11587/107188
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