Special simplices and Gorenstein toric rings
  Christos Athanasiadis studies an effective technique to show that Gorenstein sequences coming from compressed polytopes are unimodal. In the present paper we will use such the technique to find a rich class of Gorenstein toric rings with unimodal $h$-vectors arising from finite graphs. 
Hidefumi Ohsugi (Rikkyo University), Takayuki Hibi (Osaka University)