Snip the vines a few inches above the roots, and remove them to a trash bag. The vine will make new leaves; pour boiling water over the leaves. Repeat as soon as it makes more new leaves. The plant cannot survive without the ability to make chlorophyll.

If you make a habit of strolling around every couple days with a teapot full of hot water, and scald any new leaves wherever they pop up, the plant will *eventually* die. Yes, this takes time but does not poison your soil as the herbicides do, and it IS effective.

BTW, do not use this method for controlling poison ivy. The steam could contain urushiol, and you *don't* want to breathe that!