A Unified Method for Constructing PBIB Designs Based on Triangular and L2 Schemes.

Abstract

A general and simple method for constructing triangular and L sub 2 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 of triangular and L sub 2 type PBIB designs to line graphs. Triangular or L sub 2 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
Nov 01, 1981
Accession Number
ADA114488

Entities

People

  • Ching-shui Cheng

Organizations

  • University of Wisconsin–Madison

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  • Construction
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  • Graph Theory
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Fields of Study

  • Mathematics

Readers

  • Circadian Sleep-Wake Regulation and Chronobiology
  • Graph Algorithms and Convex Optimization.