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» Fiber Polytopes for the Projections between Cyclic Polytopes
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EJC
2000
13 years 5 months ago
Fiber Polytopes for the Projections between Cyclic Polytopes
Christos A. Athanasiadis, Jesús A. De Loera...
DCG
1999
74views more  DCG 1999»
13 years 5 months ago
Piles of Cubes, Monotone Path Polytopes, and Hyperplane Arrangements
Monotone path polytopes arise as a special case of the construction of fiber polytopes, introduced by Billera and Sturmfels. A simple example is provided by the permutahedron, whic...
Christos A. Athanasiadis
EJC
2000
13 years 5 months ago
The Generalized Baues Problem for Cyclic Polytopes I
Given an affine surjection of polytopes : P Q, the Generalized Baues Problem asks whether the poset of all proper polyhedral subdivisions of Q which are induced by the map has t...
Jörg Rambau, Francisco Santos
DCG
2007
94views more  DCG 2007»
13 years 5 months ago
Banach-Mazur Distances and Projections on Random Subgaussian Polytopes
We consider polytopes in Rn that are generated by N vectors in Rn whose coordinates are independent subgaussian random variables. (A particular case of such polytopes are symmetri...
Rafal Latala, Piotr Mankiewicz, Krzysztof Oleszkie...
MP
2006
142views more  MP 2006»
13 years 5 months ago
Exploring the Relationship Between Max-Cut and Stable Set Relaxations
The max-cut and stable set problems are two fundamental NP-hard problems in combinatorial optimization. It has been known for a long time that any instance of the stable set probl...
Monia Giandomenico, Adam N. Letchford