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ALGORITHMICA
2006
96views more  ALGORITHMICA 2006»
13 years 8 months 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»
13 years 9 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 2 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...