A Unified Method for Constructing PBIB (Partially Balanced Incomplete Block) Designs Based on Triangular and L2 Schemes.

Abstract

A general and simple method for constructing triangular and L2 type partially balanced incomplete block (PBIB) designs is presented. This method unifies several well-known methods and produces many new series of designs. The idea is based on a well-known relation between triangular and L2 type PBIB designs and line graphs. Triangular or L2 type PBIB designs can often be obtained by suitably symmetrizing a given initial block. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1982
Accession Number
ADA126802

Entities

People

  • A. S. Hedayat
  • Ching-shui Cheng
  • Gregory M. Constantine

Organizations

  • University of Wisconsin–Madison

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  • Mathematics

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  • Approximation Theory.
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