Almost-bipartite distance-regular graphs with the \(Q\)-polynomial property (Q854828)

This paper gives a classification of \(Q\)-polynomial distance-regular graphs with diameter \(D\geq 4\), whose intersection numbers satisfy \(a_j= 0\) for \(0\leq j\leq D-1\) and \(a_D\neq 0\). Such a graph is a \((2D+ 1)\)-gon, a folded \((2D+ 1)\)-cube or an ODD graph on a set of size \(2D+ 1\).