COMBINATORIAL DESIGNS AND RELATED SYSTEMS,
Abstract
The incidence matrix A of a (v,k,lambda)-design satisfies A(A superscript T) + (k - lambda)I + lambda J, where (A superscript T) denotes the transpose of A. The matrix I is the identity matrix and the matrix J is the matrix of 1's. This equation occurs repeatedly in one form or another throughout the literature on combinatorial designs. In the present paper we alter the left side of the equation drastically and investigate XY = (k - lambda)I + lambda J, where X and Y are nonnegative integral matrices of sizes n by m and m by n, respectively. We take n > 1 and k not equal to lambda. The new equation is still open to a purely set theoretic interpretation. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1969
- Accession Number
- AD0684099
Entities
People
- H. J. Ryser
- W. G. Bridges
Organizations
- California Institute of Technology