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STOC
2003
ACM
171views Algorithms» more  STOC 2003»
16 years 5 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
160
Voted
SWAT
1994
Springer
117views Algorithms» more  SWAT 1994»
15 years 9 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»
15 years 5 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»
16 years 5 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»
15 years 5 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