I have this weed growing all around the fence, and into the yard at my
house.

It grows along the ground, up the fence, up trees, and tangles up the
lawn mower blade.

When I started pulling it up, it was pretty obvious that it's a huge
network of the thing, and it's cross-hatched all underneath the soil.

So far, every few weeks, I get the new growth and cut it back, but
can't seem to figure out how to get rid of it all at once.

There are pictures at:

http://mikeski.net/new/albums/view/22

Does anyone have any advice on how to permanently get rid of this
thing, and what the heck it is?