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STOC
2003
ACM
171views Algorithms» more  STOC 2003»
14 years 6 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
SWAT
1994
Springer
117views Algorithms» more  SWAT 1994»
13 years 10 months ago
Improved Approximations of Independent Sets in Bounded-Degree Graphs
Abstract. Finding maximum independent sets in graphs with bounded maximum degree is a well-studied NP-complete problem. We introduce an algorithm schema for improving the approxim...
Magnús M. Halldórsson, Jaikumar Radh...
ALGORITHMICA
2004
153views more  ALGORITHMICA 2004»
13 years 6 months ago
Approximating the Degree-Bounded Minimum Diameter Spanning Tree Problem
We consider the problem of finding a minimum diameter spanning tree with maximum node degree B in a complete undirected edge-weighted graph. We provide an O( p logB n)-approximatio...
Jochen Könemann, Asaf Levin, Amitabh Sinha
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
14 years 6 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
DAM
2010
112views more  DAM 2010»
13 years 6 months ago
New results on optimizing rooted triplets consistency
Abstract. A set of phylogenetic trees with overlapping leaf sets is consistent if it can be merged without conflicts into a supertree. In this paper, we study the polynomial-time a...
Jaroslaw Byrka, Sylvain Guillemot, Jesper Jansson