We give an estimate of the number of geometrically distinct open tours G for a knight on a chessboard. We use a randomization of Warnsdorff rule to implement importance sampling in a backtracking scheme, correcting the observed bias of the original rule, according to the proposed principle that “most solutions follow Warnsdorff rule most of the time”. After some experiments in order to test thi...

Grassland systems face many simultaneous pressures including market and policy compliance that operate from local to global scale. The ability to adapt to these pressures against a background of constrained natural resources and inputs is vital to the continued success of the grassland livestock industry and all those dependent on its outputs. New Zealand and Uruguay collaborators have been dev...