A Steiner topology t, is defined to be a degenerate topology of another Steiner topology t, if t, is obtained from t, by sequentially collapsing Steiner points into their adjacent regular points of degree less than three. A full topology t is called optimal if there is a Steiner minimal tree whose t
Hexagonal coordinate systems and steiner minimal trees
โ Scribed by F.K. Hwang; J.f. Weng
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 483 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
The hexagonal coordinate system consists of three axes going through a point forming six 60 ยฐ angles. The hexagonal coordinate system is natural to the Euclidean Steiner tree problem since the lines of a full Steiner minimal tree always form 120 ยฐ angles. In this paper we develop the calculus of hexagonal coordinates and show how it can be applied to the Steiner tree problem.
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