Accession Number : ADA114576

Title :   On Regular Generalized Line Graph Designs.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Cheng,Ching-Shui ; Constantine,Gregory M

PDF Url : ADA114576

Report Date : Feb 1982

Pagination or Media Count : 22

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)

Descriptors :   *Statistics, *Graphs, *Lines(Geometry), *Experimental design, Theory, Optimization, Standards, Asymmetry, Comparison, Models

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE