Years ago, my neighbor helped me cut down a mimosa tree. It was dropping seeds in my garden and they kept sprouting. I didn't want more of those. He told me they were good at coming back, so we dug out the roots way out almost to the ends and dumped gasoline on them. It was quite a project, but it never came back.

Thanks!

I had neighbors from India when I was a kid and I'm pretty sure that's what they had growing on their fence. It was a delicious cucumber-like perennial. I'd love to find those again.