Digitale Medien
Springer
Annals of operations research
33 (1991), S. 437-449
ISSN:
1572-9338
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
,
Wirtschaftswissenschaften
Notizen:
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.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF02071981
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