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IPL
2006
115views more  IPL 2006»
13 years 11 months ago
Approximate maximum weight branchings
We consider a special subgraph of a weighted directed graph: one comprising only the k heaviest edges incoming to each vertex. We show that the maximum weight branching in this su...
Amitabha Bagchi, Ankur Bhargava, Torsten Suel
ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
13 years 10 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
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
14 years 8 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
APPROX
2004
Springer
180views Algorithms» more  APPROX 2004»
14 years 4 months ago
A 3/4-Approximation Algorithm for Maximum ATSP with Weights Zero and One
We present a polynomial time 3/4-approximation algorithm for the maximum asymmetric TSP with weights zero and one. As applications, we get a 5/4-approximation algorithm for the (mi...
Markus Bläser
JCO
2010
169views more  JCO 2010»
13 years 9 months ago
An almost four-approximation algorithm for maximum weight triangulation
We consider the following planar maximum weight triangulation (MAT) problem: given a set of n points in the plane, find a triangulation such that the total length of edges in tria...
Shiyan Hu