Well, this stacktrace...
This is throwing java.lang.NullPointerException
at KinghtsTour.KnightsCleverTour.main(KnightsCleverTour.java:22)
Gives you the exact file, method, and line, where the exception occurred. It would be a good idea to start there.
However... just looking at your application for a few seconds... here is a hint. Where did you instantiate any chessboard objects?
Henry