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FOCS
2006
IEEE
14 years 1 months ago
Approximate Min-Max Theorems of Steiner Rooted-Orientations of Hypergraphs
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...
Tamás Király, Lap Chi Lau
ISAAC
2004
Springer
137views Algorithms» more  ISAAC 2004»
14 years 21 days ago
The Polymatroid Steiner Problems
The Steiner tree problem asks for a minimum cost tree spanning a given set of terminals S ⊆ V in a weighted graph G = (V, E, c), c : E → R+ . In this paper we consider a genera...
Gruia Calinescu, Alexander Zelikovsky
SODA
2001
ACM
87views Algorithms» more  SODA 2001»
13 years 8 months ago
Steiner points in tree metrics don't (really) help
Consider an edge-weighted tree T = (V, E, w : E R+ ), in which a subset R of the nodes (called the required nodes) are colored red and the remaining nodes in S = V \R are colored ...
Anupam Gupta
SIAMCOMP
2008
167views more  SIAMCOMP 2008»
13 years 7 months ago
Approximation Algorithms for Data Placement Problems
We develop approximation algorithms for the problem of placing replicated data in arbitrary networks, where the nodes may both issue requests for data objects and have capacity fo...
Ivan D. Baev, Rajmohan Rajaraman, Chaitanya Swamy
ESA
2009
Springer
144views Algorithms» more  ESA 2009»
14 years 1 months ago
Narrow-Shallow-Low-Light Trees with and without Steiner Points
We show that for every set S of n points in the plane and a designated point rt ∈ S, there exists a tree T that has small maximum degree, depth and weight. Moreover, for every po...
Michael Elkin, Shay Solomon