I have been told that adverse possession laws do not have effect within any incorporated city in the state of Kansas. Property lines are set by the platting of the properties and even if a neighbor maintains that property it does not give them legal possession. Of course that was probably 20 years ago.
Can you file a nuisance complaint with the code enforcement office? Not sure how quickly that could get the problem solved or if they are in violation of any code but it's an option.
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