Craps a PITA! Just like all this English Ivy I have here a the house...
Here's a good article...
HGIC 2320 Bamboo Control : Extension : Clemson University : South Carolina
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Control
Every effort should be taken to control a bamboo infestation in its entirety. Because bamboo is so aggressive, it can re-establish rapidly if any small section is left untouched. Homeowners with bamboo infestations must be patient, as this weed requires an intensive control program over several years.
The first step in controlling bamboo should be to remove as much of the root mass and rhizomes of the plant as possible. This can often be done by hand with small infestations but larger problem areas may require the use of power equipment. Containment is also a fairly effective method of controlling bamboo, but must be monitored regularly. Because the rhizomes of bamboo are fairly shallow, growing less than one foot deep in the soil, a barrier made of concrete, metal, plastic, or pressure-treated wood installed about 18 inches deep has proven to be effective. Bamboo rhizomes are not stopped by barriers but are merely reflected. Because of this behavior, the areas surrounding the barriers should be monitored regularly for escaped rhizomes that should be cut back.
Regular mowing is another method that can help control bamboo over time. Because bamboo is a grass, it can tolerate occasional mowing but does not tolerate frequent mowing. Mowing practices, similar to that in a home lawn can eventually deplete the bamboo rhizomes and offer some control. Two to three years of regular mowing are often needed to see results.
A final, and often necessary, method of control for bamboo is the use of herbicides. A non-selective herbicide with the active ingredient glyphosate (e.g., Roundup Original, Eraser Systemic Weed & Grass Killer, Quick Kill Grass & Weed Killer, Bonide Kleenup Grass & Weed Killer, Hi-Yield Super Concentrate Killzall II Herbicide, Southern Ag Weed Pro Glyphosate, and Southern States Grass & Weed Killer Concentrate) is the best option for homeowners. Glyphosate has very little residual soil activity and will only kill plants that receive direct contact. For glyphosate to be effective, the bamboo must be mowed or chopped and allowed to regrow until the new leaves expand. Glyphosate should then be applied to the leaves. Keep in mind that one application of glyphosate will not eradicate the bamboo infestation. It can potentially take two to three years to gain complete control. Do not apply these products directly to water or to areas where surface water is present. For bamboo control next to creeks, lake basins, wetlands or other water sources where spray drift will contact the water, choose a glyphosate product labeled for use near water, such as Eraser AQ, Hi-Yield Killzall Aquatic Herbicide, Rodeo, Pondmaster, Aquamaster or Aquapro. Aquatic formulations of glyphosate may be mixed with a non-ionic surfactant, such as Ortho X-77 or Southern Ag Surfactant for Herbicides, to improve control. When using herbicides, please be sure to follow all label instructions."