๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Steiner minimal trees on sets of four points

โœ Scribed by D. Z. Du; F. K. Hwang; G. D. Song; G. Y. Ting

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

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Variational approach and Steiner minimal
Variational approach and Steiner minimal trees on four points
โœ J.F. Weng ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 691 KB

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

Full Minimal Steiner Trees on Lattice Se
Full Minimal Steiner Trees on Lattice Sets
โœ M. Brazil; J.H. Rubinstein; D.A. Thomas; J.F. Weng; N.C. Wormald ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 497 KB

Given a finite set of points P in the Euclidean plane, the Steiner problem asks us to constuct a shortest possible network interconnecting P. Such a network is known as a minimal Steiner tree. The Steiner problem is an intrinsically difficult one, having been shown to be NP-hard [7]; however, it oft

Minimal Steiner Trees for Rectangular Ar
Minimal Steiner Trees for Rectangular Arrays of Lattice Points
โœ M Brazil; J.H Rubinstein; D.A Thomas; J.F Weng; N.C Wormald ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 619 KB

We construct minimal Steiner trees for any square or rectangular array of integer lattice points on the Euclidean plane. 1997 Academic Press ## 1. INTRODUCTION AND PRELIMINARIES This paper answers a series of questions raised by Chung et al. in [3] on the length of the shortest network interconne