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DAM
2000
137views more  DAM 2000»
13 years 7 months ago
Solving the feedback vertex set problem on undirected graphs
Feedback problems consist of removing a minimal number of vertices of a directed or undirected graph in order to make it acyclic. The problem is known to be NPcomplete. In this pa...
Lorenzo Brunetta, Francesco Maffioli, Marco Trubia...
ORL
1998
136views more  ORL 1998»
13 years 7 months ago
A primal-dual interpretation of two 2-approximation algorithms for the feedback vertex set problem in undirected graphs
Recently, Becker and Geiger and Bafna, Berman and Fujito gave 2-approximation algorithms for the feedback vertex set problem in undirected graphs. We show how their algorithms can...
Fabián A. Chudak, Michel X. Goemans, Dorit ...
CORR
2007
Springer
134views Education» more  CORR 2007»
13 years 7 months ago
A Partition-Based Relaxation For Steiner Trees
The Steiner tree problem is a classical NP-hard optimization problem with a wide range of practical applications. In an instance of this problem, we are given an undirected graph ...
Jochen Könemann, David Pritchard, Kunlun Tan
COCOA
2009
Springer
14 years 1 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...
STOC
2010
ACM
261views Algorithms» more  STOC 2010»
14 years 6 days ago
An Improved LP-based Approximation for Steiner Tree
The Steiner tree problem is one of the most fundamental ÆÈ-hard problems: given a weighted undirected graph and a subset of terminal nodes, find a minimum weight tree spanning ...
Jaroslaw Byrka, Fabrizio Grandoni, Thomas Rothvoss...