Binary constraint
From HandWiki
A binary constraint, in mathematical optimization, is a constraint that involves exactly two variables. For example, consider the n-queens problem, where the goal is to place n chess queens on an n-by-n chessboard such that none of the queens can attack each other (horizontally, vertically, or diagonally). The formal set of constraints are therefore "Queen 1 can't attack Queen 2", "Queen 1 can't attack Queen 3", and so on between all pairs of queens. Each constraint in this problem is binary, in that it only considers the placement of two individual queens.[1]
Linear programs in which all constraints are binary can be solved in strongly polynomial time, a result that is not known to be true for more general linear programs.[2]
References
- ↑ Marriott, Kim; Stuckey, Peter J. (1998), Programming with Constraints: An Introduction, MIT Press, p. 282, ISBN 9780262133418, https://books.google.com/books?id=jBYAleHTldsC&pg=PA282.
- ↑ "Towards a genuinely polynomial algorithm for linear programming", SIAM Journal on Computing 12 (2): 347–353, 1983, doi:10.1137/0212022.
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