On Regular Generalized Line Graph Designs.

Abstract

A class of efficient designs called regular generalized line graph designs are introduced. This class of designs includes many well-known optimum and efficient designs, e.g., balanced incomplete block designs, group-divisible designs with lambda 2 equal lambda 1 + 1, group-divisible designs with lambda 1 equal lambda 2 + 1 and group size two, triangular designs with lambda 2 equal lambda 1 + 1, L2 designs with lambda 2 equal lambda 1 + 1, etc. The optimality of regular generalized line graph designs is investigated. This uses graph theory as a tool and unifies much of the previous work in the area. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1982
Accession Number
ADA114576

Entities

People

  • Ching-shui Cheng
  • Gregory M. Constantine

Organizations

  • University of Wisconsin–Madison

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DTIC Thesaurus Topics

  • California
  • Combinatorial Analysis
  • Data Science
  • Eigenvalues
  • Equations
  • Experimental Design
  • Geometry
  • Graph Theory
  • Materials
  • Mathematics
  • Military Research
  • New York
  • North Carolina
  • Statistics
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Operations Research
  • Systems Analysis and Design