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ISAAC
2004
Springer
137views Algorithms» more  ISAAC 2004»
14 years 1 months 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
APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
14 years 1 months ago
On the Crossing Spanning Tree Problem
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...
Vittorio Bilò, Vineet Goyal, R. Ravi, Mohit...
MFCS
2009
Springer
14 years 16 days ago
An Improved Approximation Bound for Spanning Star Forest and Color Saving
We present a simple algorithm for the maximum spanning star forest problem. We take advantage of the fact that the problem is a special case of complementary set cover and we adapt...
Stavros Athanassopoulos, Ioannis Caragiannis, Chri...
PDCAT
2005
Springer
14 years 1 months ago
Approximating Spanning Trees with Inner Nodes Cost
We consider the practical NP-complete problem of finding a minimum weight spanning tree with both edge weights and inner nodes weights. We present two polynomial time algorithms ...
Rudolf Fleischer, Qi Ge, Jian Li, Shijun Tian, Hai...
ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
13 years 7 months ago
Approximating Maximum Weight Cycle Covers in Directed Graphs with Weights Zero and One
A cycle cover of a graph is a spanning subgraph each node of which is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. Gi...
Markus Bläser, Bodo Manthey