Efficient Regular Graph Generalized Neighbor Designs

Authors

  • Q. Mehmood Department of Quantitative Methods University of Management and Technology Lahore
  • Z. Abbas University of Gujrat, Gujrat
  • F. Shehzad The Islamia University of Bahawalpur
  • R. Ahmed The Islamia University of Bahawalpur

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.

 

Author Biographies

Q. Mehmood, Department of Quantitative Methods University of Management and Technology Lahore

Lecturer Deptt. of Statistics Govt college Bahawal nagar

 

 

 

Z. Abbas, University of Gujrat, Gujrat

Department of Statistics

F. Shehzad, The Islamia University of Bahawalpur

Department of Statistics

R. Ahmed, The Islamia University of Bahawalpur

Department of Statistics

References

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Published

30-09-2020

How to Cite

[1]
Q. Mehmood, Z. Abbas, F. Shehzad, and R. Ahmed, “Efficient Regular Graph Generalized Neighbor Designs”, The Nucleus, vol. 57, no. 1, pp. 1–11, Sep. 2020.

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