Electronic Resource
Springer
Annals of operations research
33 (1991), S. 437-449
ISSN:
1572-9338
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Economics
Notes:
Abstract LetM be a metric space andP a finite set of points inM. The Steiner ratio inM is defined to beρ(M)=inf{L s(P)/L m(P) |P ⊂M}, whereL s(P) andL m(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 spaceℝ n ,ρ(ℝ n )〉0.615.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02071981
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