Abstract
In this study we have constructed a class of economical block designs called regular graph generalized
neighbor designs for circular blocks of size 4 and v ≤ 50. This class of design can provide an efficient
alternative of universally optimal neighbor designs. These designs will increase the applications of
regular graph designs particularly in the fields of serology, agro forestry and agriculture, etc. In terms
of efficiency factor, proposed designs are more efficient as compared with other generalized neighbor
designs. The two best designs, for v =26 and v =50, have percentage of upper bound 99.91% and 99.93%
respectively.
Q. Mehmood, Z. Abbas, F. Shehzad, R. Ahmed. (2020) Efficient Regular Graph Generalized Neighbor Designs, The Nucleus, Volume-57, Issue-1.
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