Bipartite distance-regular graphs. II. (English) Zbl 0939.05088

Curtin, Brian

Graphs Comb. 15, No. 4, 377-391 (1999).

Summary: This is a continuation of Part I in [Graph Comb. 15, No. 2, 143-158 (1999; Zbl 0927.05083)]. We continue our study of the Terwilliger algebra \(T\) of a bipartite distance-regular graph. In this part we focus on the thin irreducible \(T\)-modules of endpoint 2 and on those distance-regular graphs for which every irreducible \(T\)-module of endpoint 2 is thin.

MSC:

05E30

Association schemes, strongly regular graphs

Keywords:

Terwilliger algebra; bipartite distance-regular graph; irreducible \(T\)-module

Citations:

Zbl 0927.05083