2 problems

Let $\Gamma$ be a bipartite distance-regular graph, and let $T$ denote its subconstituent algebra. Assume that, up to isomorphism, there exist exactly two irreducible $T$-modules w…

Multiplicity-one conjecture. For every irreducible $\mathbb T$-module, the common eigenspaces for each of these four families all have dimension one. This conjecture would give a u…