TY - JOUR AU - Vidya M. D., Medha Itagi Huilgol, PY - 2022/01/23 Y2 - 2024/03/29 TI - Partially Balanced Incomplete Block (PBIB)-Designs Arising From Diametral Paths in Graphs JF - Design Engineering JA - DE VL - IS - 1 SE - Articles DO - UR - http://thedesignengineering.com/index.php/DE/article/view/8831 SP - 622-635 AB - A(v,b,r,k,λi)-designoverregulargraphG=(V,E)ofdegreedisanorderedpairD=(V,B),where|V | = v and B, the set of all diametral paths of G, called blocks, containing vertices belonging to the diametral paths, such that two vertices α and β which are ithassociates occur together in λiblocks, the numbers λibeing independent of the choice of the pair α and β. In this paper, we have extended the di- ametraldesignsintroducedbyHuilgoletal.[12]tosomeclassofgraphslike,hypercubeQn,thecomplete k-partite graphs, generalized Petersen graphsetc ER -