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Title: Characterization of group-divisible designs and some related results

Technical Report ·
OSTI ID:7073046

A regular graph is a graph with no multiple edges and loops such that each of its vertices is adjacent (or connected) to the same number of other vertices. The optimality of some special types of regular graph designs for the elimination of one-way heterogeneity has already been proven. The main purpose of this work is to show that these designs are group-divisible. The problem is formulated and solved in the context of graph theory. (RWR)

Research Organization:
California Univ., Berkeley (USA); Union Carbide Corp., Oak Ridge, TN (USA). Computer Sciences Div.
DOE Contract Number:
W-7405-ENG-26
OSTI ID:
7073046
Report Number(s):
TID-28464
Country of Publication:
United States
Language:
English