I apologize for this delayed reply to your gardening question and hope it is still helpful to you.
The options for getting rid of Wisteria are to either dig it out, or to cut it off and then apply a strong solution of a weed killer with either glyphosate or triclopyr as the active ingredient to the cut surfaces of the "stump". You can also apply these products to the foliage but if they get on desirable plants those plants will be killed too.
Thanks for the question. Best wishes for a wonderful gardening season. Please stop in again soon!
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