It's not even ours 
It's next door's. It's right on the fence and now coming up in fast growing spurts on our side. I cut a couple and they have just multiplied.
Reading up on this I'm not feeling too hopeful.
I've asked next door if they might consider taking it out, but they know nothing about gardening, both work full time, I don't think they believe me when I tell them how pervasive it is, and basically, a year on it's still there.
I want to kill it from my side of the fence. I have heard that glyphosate (?) might be the bomb. Any experiences most welcome.
Really worried it will get to the point where it's invaded all our flower beds and I have to kill my trees and plants to get rid of it.