科研之友
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摘要
Let D be a compact polygonal Alexandrov surface with curvature bounded below by kappa. We study the minimum network problem of interconnecting the vertices of the boundary polygon partial derivative D in D. We construct a smooth polygonal surface (D) over tilde with constant curvature kappa such that the length of its minimum spanning trees is equal to that of D and the length of its Steiner minimum trees is less than or equal to D%26apos;s. As an application we show a comparison theorem of Steiner ratios for polygonal surfaces.
- 出版日期2013-3
