Diameter and Curvature: Intriguing Analogies
نویسندگان
چکیده
منابع مشابه
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 results of Holt and Klee, and Klee and Walkup: We construct a family of polytopes which attain the conjectured order of the largest curvature, and prove that the special case where the number of inequalities is twice t...
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ژورنال
عنوان ژورنال: Electronic Notes in Discrete Mathematics
سال: 2008
ISSN: 1571-0653
DOI: 10.1016/j.endm.2008.06.044