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» Polytopes and arrangements: Diameter and curvature
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ORL
2008
73views more  ORL 2008»
13 years 4 months ago
Polytopes and arrangements: Diameter and curvature
By analogy with the conjecture of Hirsch, we conjecture that the order of the largest total curvature of the central path associated to a polytope is the number of inequalities de...
Antoine Deza, Tamás Terlaky, Yuriy Zinchenk...
ENDM
2008
61views more  ENDM 2008»
13 years 4 months ago
Diameter and Curvature: Intriguing Analogies
We highlight intriguing analogies between the diameter of a polytope and the largest possible total curvature of the associated central path. We prove continuous analogues of the ...
Antoine Deza, Tamás Terlaky, Feng Xie, Yuri...