The Terwilliger polynomial of a Q-polynomial distance-regular graph and its application to the pseudo-partition graphs

Alexander L. Gavrilyuk, Jack H. Koolen

Let $\Gamma$ be a $Q$-polynomial distance-regular graph with diameter at least $3$. Terwilliger (1993) implicitly showed that there exists a polynomial, say $T(\lambda )\in \mathbb{C}[\lambda ]$, of…