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© 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG About this entry Cite this entry Mitchell, J.E. (2024). Integer Programming: Branch-and-Cut Algorithms. In: Pardalos, P.M., Prokopyev, O.A. (eds) Encyclopedia of Optim...
Sherali, H., Dalkiran, E., Liberti, L.: Reduced RLT representations for nonconvex polynomial programming problems. J. Glob. Optim. 52(3), 447–469 (2012) Google Scholar Sherali, H.D., Adams, W.P.: A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Pro...
Fig. 1. Two graph representations for the solution x1 = 5, x2 = 3, x3 = 1 of −2 x1 + 3 x2 + x3 = 0 and x1 − 2 x2 + x3 = 0. The edges above, resp., below, the vertices correspond to the first, respectively, the second, equation. The signs attached to the vertic...
(Other available algorithms: 'legacy') Set properties: Display: 'off' Default properties: AbsoluteGapTolerance: 1.0000e-06 Algorithm: 'highs' ConstraintTolerance: 1.0000e-06 MaxFeasiblePoints: 2.1475e+09 MaxNodes: 10000000 MaxTime: 7200 ObjectiveCutOff: Inf ...
String graphs requiring exponential representations J. Combin. Theory Ser. B, 53 (1) (1991), pp. 1-4 View PDFView articleView in ScopusGoogle Scholar [27] J. Kratochvíl, J. Matoušek Intersection graphs of segments J. Combin. Theory Ser. B, 62 (2) ...
in each instance it requires human input in order to find a suitable set of algebraic rules to help the solver. An alternative approach using Groebner basis algorithms has been considered [39]. This is a purely algebraic approach based on polynomials. Since the language of polynomials allows one...
We provide the first exact formulas for including recursive relations via auxiliary functions as well as concise and satisfying representations and even quasi-explicit formulas. We also discuss some of the intricate fractal-like symmetry of the sequence and the development of algorithms for computing ....
Some portions of the preceding detailed descriptions have been presented in terms of algorithms and symbolic representations of operations on data bits within a computer memory. These algorithmic descriptions and representations are the ways used by those skilled in the data processing arts to most effe...
Such representations, known as “IP cores” may be stored on a tangible, machine readable medium and supplied to various customers or manufacturing facilities to load into the fabrication machines that actually make the logic or processor. Such machine-readable storage media may include, without ...