zbMATH — the first resource for mathematics

The subconstituent algebra of an association scheme. III. (English) Zbl 0785.05091
From the author’s abstract: This is the continuation of an article from the previous issue (see the preceding review). In this part, we focus on the thin $$P$$- and $$Q$$-polynomial association schemes. We provide some combinatorial characterizations of these objects and exhibit the known examples with diameter at least 6. For each example, we give the irreducible modules for the subconstituent algebra. We close with some conjectures and open problems.

MSC:
 5e+30 Association schemes, strongly regular graphs
Citations:
Zbl 0785.05088; Zbl 0785.05089
Full Text: