论文信息 - On steiner ratio conjectures

On steiner ratio conjectures

LetM be a metric space andP a finite set of points inM. The Steiner ratio inM is defined to beρ(M)=inf{Ls(P)/Lm(P) |P ⊂M}, whereLs(P) andLm(P) are the lengths of the Steiner minimal tree and the minimal spanning tree onP, respectively. In this paper, we study various conjectures onρ(M). In particular, we show that forn-dimensional Euclidean spaceℝn,ρ(ℝn)>0.615.

Ding-Zhu Du

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