1.   As for those plants already in your yard, you will have to cut them down repeatedly or carefully spray them with a systemic herbicide to kill them.

2.   As for those still popping up in your yard, you will have to cut them down repeatedly or carefully spray them with a systemic herbicide to kill them.

3.   The prudent gardener does not apply systemic herbicides willy-nilly to a tree with neighboring specimens of the same species.

4.   You can CAREFULLY apply a systemic herbicide for some possible relief of these vines.