%0 Journal Article
%T The Gabriel-Roiter measures admitting no direct predecessors over $n$-Kronecker quivers
%A Bo Chen
%J Mathematics
%D 2009
%I arXiv
%X Let $Q$ be an $n$-Kronecker quiver, i.e., a quiver with two vertices, labeled by 1 and 2, and $n$ arrows from 2 to 1. We show that there are infinitely many Gabriel-Roiter measures admitting no direct predecessors.
%U http://arxiv.org/abs/0912.3415v1