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Steiner minimal trees for regular polygons

โœ Scribed by D. Z. Du; F. K. Hwang; J. F. Weng


Publisher
Springer
Year
1987
Tongue
English
Weight
755 KB
Volume
2
Category
Article
ISSN
0179-5376

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๐Ÿ“œ SIMILAR VOLUMES


Steiner minimal trees on regular polygon
โœ J.F. Weng; R.S. Booth ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 594 KB

Let P,,n~>3, be the set of vertices of a regular n-gon and o be the centre of P,. Let P+ = P, u [o}. In this paper we determine the Steiner minimal trees on P+. By this example we will see how complicated the Steiner problem may become if even one regular point not lying on the Steiner polygon is ad

Regular Steiner polygons
โœ M.J. Kaiser ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 347 KB

The symmetric difference area functional is minimized for a pair of planar convex polygons. Two solution procedures are outlined: a direct constructive methodology and a support function formulation. Examples illustrate the solution methodology.

Steiner minimal trees in Lp2
โœ Dietmar Cieslik; Johann Linhart ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 463 KB

For a finite set of points in a metric space a Steiner Minimal Tree (SMT) is a shortest tree which interconnects these points. We also consider a relative of this problem allowing at most k additional points in the tree (k-SMT), where k is a given number. We intend to discuss these problems for all

Minimal Steiner Trees for 2kร—2kSquare La
โœ M. Brazil; T. Cole; J.H. Rubinstein; D.A. Thomas; J.F. Weng; N.C. Wormald ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 417 KB

We prove a conjecture of Chung, Graham, and Gardner (Math. Mag. 62 (1989), 83 96), giving the form of the minimal Steiner trees for the set of points comprising the vertices of a 2 k \_2 k square lattice. Each full component of these minimal trees is the minimal Steiner tree for the four vertices of