Gorenstein binomial edge ideals associated with scrolls

Abstract

Let $I_G$ be the binomial edge ideal on the generic 2 x n - Hankel matrix associated with a closed graph $G$ on the vertex set [n]. We characterize the graphs $G$ for which $I_G$ has maximal regularity and is Gorenstein.

14 pages; major improvement in Section 2 where we filled a gap in the proof of Theorem 2.2; minor changes in the introduction