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ALGORITHMICA
2006
96views more  ALGORITHMICA 2006»
14 years 16 days ago
Canonical Forms and Algorithms for Steiner Trees in Uniform Orientation Metrics
We present some fundamental structural properties for minimum length networks (known as Steiner minimum trees) interconnecting a given set of points in an environment in which edg...
Marcus Brazil, D. A. Thomas, J. F. Weng, Martin Za...
SODA
2004
ACM
151views Algorithms» more  SODA 2004»
14 years 1 months ago
Minimum moment Steiner trees
For a rectilinear Steiner tree T with a root, define its k-th moment Mk(T) = T (dT (u))k du, where the integration is over all edges of T, dT (u) is the length of the unique path ...
Wangqi Qiu, Weiping Shi
COCOA
2009
Springer
14 years 7 months ago
A PTAS for Node-Weighted Steiner Tree in Unit Disk Graphs
Abstract. The node-weighted Steiner tree problem is a variation of classical Steiner minimum tree problem. Given a graph G = (V, E) with node weight function C : V → R+ and a sub...
Xianyue Li, Xiao-Hua Xu, Feng Zou, Hongwei Du, Pen...