A Continuous d-Step Conjecture for Polytopes

Author:

Deza Antoine,Terlaky Tamás,Zinchenko Yuriy

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference14 articles.

1. Dantzig, G.: Linear Programming and Extensions. Princeton University Press, Princeton (1963)

2. Dedieu, J.-P., Malajovich, G., Shub, M.: On the curvature of the central path of linear programming theory. Found. Comput. Math. 5, 145–171 (2005)

3. Deza, A., Terlaky, T., Zinchenko, Y.: Central path curvature and iteration-complexity for redundant Klee–Minty cubes. In: Gao D. and Sherali H. (eds.) Advances in Mechanics and Mathematics, vol. III, pp. 215–248 (2007)

4. Deza, A., Terlaky, T., Zinchenko, Y.: Polytopes and arrangements: diameter and curvature. Oper. Res. Lett. 36-2, 215–222 (2008)

5. Fritzsche, K., Holt, F.: More polytopes meeting the conjectured Hirsch bound. Discrete Math. 205, 77–84 (1999)

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