  Kleshchev, Mathas and Ram (2012) gave a presentation for graded Specht
modules over Khovanov-Lauda-Rouquier algebras of finite and affine type A. We
show that this construction can be applied more generally to skew shapes to
give a presentation of graded skew Specht modules, which arise as subquotients
of restrictions of Specht modules. As an application, we show that cuspidal
modules associated to a balanced convex preorder in affine type A are skew
Specht modules for certain hook shapes.
