We consider Artinian level algebras arising from the whiskering of a graph.
Employing a result by Dao-Nair we show that multiplication by a general linear
form has maximal rank in degrees 1 and $n-1$ when the characteristic is not
two, where $n$ is the number of vertices in the graph. Moreover, the
multiplication is injective in degrees $
Authors
Cooper SM; Faridi S; Holleben T; Nicklasson L; Van Tuyl A