Invasive roots from neighboring tree

[Durian Fiend]

I would try to kill the tree by lethal injection of herbicide. If necessary there could be the plausible deniability (lie) that efforts on only your side of property (application of poison to root area) were inadverently responsible for the death of entire tree.

Regardless of their feelings about this, it seems unlikely that the neighbors would be inclined to mount a fight over it.