Construction of Pbib Designs Using Triplets and Quadruplets Generated From Polygons and Polyhedrons

Davinder Kumar Garg; Syed Aadil Farooq

Volume : IV, Issue : IX, September - 2014

Construction of Pbib Designs Using Triplets and Quadruplets Generated From Polygons and Polyhedrons

Davinder Kumar Garg, Syed Aadil Farooq

Abstract :

In this paper, we have constructed partially balanced incomplete block (PBIB) designs with two and three associate classes by establishing a link between Polygons, Polyhedrons through Triplets/Quadruplets and PBIB designs. Constructions of some new PBIB designs along with their association schemes has also been discussed. Efficiencies of the newly constructed PBIB designs are computed for the purpose of comparisons. In the study it was found that some newly constructed designs are more efficient as compared to the existing designs. In this paper, two and three class association scheme of the newly constructed designs with parameters of first kind and of second kind are also given in detail.