ON THE DUALS OF SYMMETRIC PARTIALLY-BALANCED INCOMPLETE BLOCK DESIGNS

Abstract

Condiions are investigated under which the dual of a symmetric partially balanced incomplete block design with m associate classes is a design with all parameters the same, a question of some significance in the problem of enumerating all designs, and for applications to miscellaneous combinatorial investigations. Sufficient conditions are given for the dual to have the desired property, along with an example that demonstrates that, if no conditions are postulated, the dual need not have this property. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 30, 1962
Accession Number
AD0275898

Entities

People

  • A.j. Hoffman

Organizations

  • IBM Thomas J. Watson Research Center

Tags

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Software Engineering
  • Theoretical Analysis.