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WG
2004
Springer
14 years 2 months ago
Computing Bounded-Degree Phylogenetic Roots of Disconnected Graphs
The Phylogenetic kth Root Problem (PRk) is the problem of finding a (phylogenetic) tree T from a given graph G = (V, E) such that (1) T has no degree-2 internal nodes, (2) the ex...
Zhi-Zhong Chen, Tatsuie Tsukiji
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
14 years 6 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber
ECCC
2000
93views more  ECCC 2000»
13 years 8 months ago
Improved Approximation of MAX-CUT on Graphs of Bounded Degree
We analyze the addition of a simple local improvement step to various known randomized approximation algorithms. Let ' 0:87856 denote the best approximation ratio currently k...
Uriel Feige, Marek Karpinski, Michael Langberg
SWAT
1994
Springer
117views Algorithms» more  SWAT 1994»
14 years 25 days 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...
COMBINATORICA
2006
137views more  COMBINATORICA 2006»
13 years 8 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos