The ratio conjecture p >fi/2 is true for six points. Also is achieved only when the points lie at the vertices of one or two equilateral triangles.
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What is the Steiner ratio conjecture?
What is the Steiner theorem math?
The Steiner ratio conjecture is true for five points. J. Combin. Theory Ser. A, 38 (1985), pp. 230-240
The Steiner ratio conjecture for six points · Contents. Journal of Combinatorial Theory Series A. Volume 58, Issue 1 · PREVIOUS ARTICLE. On partition regular ...
TL;DR: This paper provides a proof for Gilbert and Pollak's conjecture that for any P, Ls(P)≥(√3/2)Lm(P), and denotes the lengths of the Steiner minimum tree ...
Oct 6, 2013 · The answer is yes. The basic concept used in Du and Hwang approach to the problem is so-called characteristic area constructed for a Steiner tree.
Missing: six | Show results with:six
The long-standing conjecture of Gilbert and Pollak states that for any set of n given points in the Euclidean plane, the ratio of the length of a Steiner ...
Missing: six | Show results with:six
This technique was used by Hyam and Doreen to prove the Steiner ratio conjecture holds for configurations of six points, and further to show that if n given ...
We provide an abridged proof for their conjecture in this paper. 1. Introduction. Consider a set P of n points on the euclidean plane. A shortest network ...
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The Steiner ratio is the supremum, over all point sets, of the ratio of lengths of the Euclidean minimum spanning tree to the Steiner minimum tree. Because the ...
Missing: six | Show results with:six
Sep 6, 2005 · The Steiner ratio conjecture is that the length ofS divided by the length ofT is at least √3/2. In this paper we use a variational approach to ...