Title of article :
PBIB-Designs from Certain Subsets of Distance-Regular Graphs
Author/Authors :
Li ، Nan Department of Mathematics - College of Science - University of Shanghai for Science and Technology , Zhu ، Yan Department of Mathematics - College of Science - University of Shanghai for Science and Technology
Abstract :
Partially balanced incomplete block (PBIB)-designs are well known to be the generalization of combinatorial 2-designs. In this paper, we first construct PBIB-designs from diametral paths of distance-regular graphs, which generalizes the result for strongly regular graphs. Furthermore, for Q-polynomial distance-regular graphs associated with regular semilattices, we obtain the construction of PBIB-designs through descendents with fixed dual width.
Keywords :
PBIB , designs , Diametral paths , Descendents , Distance , regular graphs
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
