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IPL
2006
115views more  IPL 2006»
13 years 4 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 4 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 1 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»
13 years 9 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 2 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