| There are two parts to this dissertation. First, we study the Terwilliger algebra of the 2-thin bipartite distance-regular graphs. We show that the intersection numbers of these graphs are determined by the local structure of the graph. Second, we characterize the 2-homogeneous bipartite distance-regular graphs in three ways. These characterizations involve the intersection numbers, the eigenvalues, and the Krein parameters, respectively. |
