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SODA
2008
ACM

On stars and Steiner stars

8 years 4 months ago
On stars and Steiner stars
A Steiner star for a set P of n points in Rd connects an arbitrary point in Rd to all points of P, while a star connects one of the points in P to the remaining n - 1 points of P. All connections are realized by straight line segments. Let the length of a graph be the total Euclidean length of its edges. Fekete and Meijer showed that the minimum star is at most 2 times longer than the minimum Steiner star for any finite point configuration in Rd . The supremum of the ratio between the two lengths, over all finite point configurations in Rd , is called the star Steiner ratio in Rd . It is conjectured that this ratio
Adrian Dumitrescu, Csaba D. Tóth
Added 30 Oct 2010
Updated 30 Oct 2010
Type Conference
Year 2008
Where SODA
Authors Adrian Dumitrescu, Csaba D. Tóth
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