We discuss a di cult optimization problem on a chess-board, requiring equal numbers of black and white queens to be placed on the board so that the white queens cannot attack the b...
ion of a given partial assignment of values to variables. Compared with other symmetry breaking techniques, the big advantage of dynamic symmetry breaking is that it can accommodat...
Conditional symmetry arises in a sub-problem of a constraint satisfaction problem, where the sub-problem satisfies some condition under which additional symetries hold. Typically...
Ian P. Gent, Tom Kelsey, Steve Linton, Iain McDona...
Solution symmetries in integer linear programs often yield long Branch-and-Bound based solution processes. We propose a method for finding elements of the permutation group of sol...
We introduce a definition of constraint symmetry for soft CSPs, based on the definition of constraint symmetry for classical CSPs. We show that the constraint symmetry group of a...
Barbara M. Smith, Stefano Bistarelli, Barry O'Sull...