Dual consistent systems of linear inequalities and cardinality constrained polytopes

Author:

Fujishige Satoru,Maßberg Jens

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Software

Reference12 articles.

1. Camion, P., Maurras, J.: Polytopes à sommets dans l’ensemble $$\{0,1\}^n$$ { 0 , 1 } n . Cahiers du Centre d’Études de Recherche Opérationnelle 24, 107–120 (1982)

2. Edmonds, J.: Submodular functions, matroids, and certain polyhedra. In: Guy, R., Hanani, H., Sauer, N., Schönheim, J. (eds.) Proceedings of the Calgary International Conference on Combinatorial Structures and Their Applications. Gordon and Breach, New York, (1970), pp. 69–87; also. In: Combinatorial Optimization-Eureka, You Shrink! (M. Jünger, G. Reinelt and G. Rinaldi, eds., Lecture Notes in Computer Science 2570, Springer, Berlin, 2003), pp. 11–26.

3. Fujishige, S.: Dual greedy polyhedra, choice functions, and abstract convex geometries. Discrete Optimization 1, 41–49 (2004)

4. Fujishige, S.: Submodular Functions and Optimization. (Annals of Discrete Mathematics 58), 2nd edn. Elsevier, NY (2005)

5. Grötschel, M.: Cardinality homogeneous set systems, cycles in matroids, and associated polytopes. In: Grötschel, M. (eds.) The sharpest cut. The impact of Manfred Padberg and his work, MPS-SIAM Series on Optimization vol. 4, pp. 199–216 (2004)

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