## Abstract For point sets in the rectilinear plane, we consider the following five measures of the interconnect length and prove bounds on the worstβcase ratio: minimum Steiner tree, minimum star, clique, minimum spanning tree, and bounding box. In particular, we prove that, for any set of __n__ p
Interconnecting networks in the plane: The steiner case
β Scribed by Dan Trietsch
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 752 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A Steiner minimum tree SMT in the rectilinear plane is the shortest length tree interconnecting a set of points, called the regular points, possibly using Ε½ . additional vertices. A k-size Steiner minimum tree kSMT is one that can be split into components where all regular points are leaves and all
A minimum Steiner tree for a given set X of points is a network interconnecting the points of X having minimal possible total length. The Steiner ratio for a metric space is the largest lower bound for the ratio of lengths between a minimum Steiner tree and a minimum spanning tree on the same set of