I have a pile of trimmings from a couple of Wisteria vines. I believe one of the vines was a Japanese Wisteria (floribunda) and one was a Chinese Wisteria (sinensis). I've read that these are toxic when ingested, and the sap can cause irritation and sun sensitivity in some cases. However, I can't find any information on the smoke produced from burning them. I would be burning them in a bonfire outside, not in a woodstove or fireplace. Are Wisterias safe to burn in this manner or should I find another method to dispose of them?
Burn it, compost it, whatever method is most convenient that doesn't involve the use of fossil fuels. Unless you're going to seal your wisteria prunings in a timeproof vault, sooner or later the carbon will be released back into the environment; that's the nature of the carbon cycle. If it was coal made from fossilised wisteria there might be an academic argument for not burning it. It's not, so there isn't. If you have the time you could always cut up the trimmings into small pieces and use them as a mulch. I really wouldn't worry about wisteria toxicity; there's a lot more toxic things than wisteria growing in most gardens.
Oh my goodness!! Do NOT compost wisteria or chop it up and use it for mulch. It spreads via rhizomes in the soil. If you do this, the roots will just re-root in your compost or wherever you spread your mulch, making your problem much worse. I have burned it in a bonfire before and not had problems, but it wasn’t a whole bonfire full of wisteria. My understanding is the most toxic part is really the leguminous seeds and pods. Which probably will not be attached to the plant by the time you’ve ripped it from its home and drug it to the bonfire. Good luck!