Le Matematiche (Nov 2008)
The standard graded property for vertex cover algebras of quasi-trees
Abstract
In [5] the authors characterize the vertex cover algebras which are tandard graded. In this paper we give a simple combinatorial criterion for the standard graded property of vertex cover algebras in the case of quasi-trees. We also give an example of how this criterion works and compute the maximal degree of a minimal generator in that case.