Stability of syzygy bundles over certain curves of compact type

Let $E$ be a vector bundle on a curve $C$ of compact type and $V\subseteq {\mathrm{H}}^0(C,E)$ be a linear subspace that generates $E$. In this note, we study the stability of the syzygy bundle $M_{E,V}$ associated to $(E,V)$ over certain curves $C$ of compact type.