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CATS
2006
14 years 11 months ago
On the Approximability of Maximum and Minimum Edge Clique Partition Problems
We consider the following clustering problems: given a general undirected graph, partition its vertices into disjoint clusters such that each cluster forms a clique and the number...
Anders Dessmark, Jesper Jansson, Andrzej Lingas, E...
CORR
2008
Springer
169views Education» more  CORR 2008»
14 years 10 months ago
Tight Approximation Ratio of a General Greedy Splitting Algorithm for the Minimum k-Way Cut Problem
For an edge-weighted connected undirected graph, the minimum k-way cut problem is to find a subset of edges of minimum total weight whose removal separates the graph into k connect...
Mingyu Xiao, Leizhen Cai, Andrew C. Yao
PPAM
2007
Springer
15 years 4 months ago
A Parallel Approximation Algorithm for the Weighted Maximum Matching Problem
Abstract. We consider the problem of computing a weighted edge matching in a large graph using a parallel algorithm. This problem has application in several areas of combinatorial ...
Fredrik Manne, Rob H. Bisseling
CIAC
2010
Springer
282views Algorithms» more  CIAC 2010»
15 years 1 months ago
Improved Approximations for TSP with Simple Precedence Constraints
In this paper, we consider variants of the traveling salesman problem with precedence constraints. We characterize hard input instances for Christofides' algorithm and Hoogeve...
Hans-Joachim Boeckenhauer, Ralf Klasing, Tobias Mo...
IPL
2008
135views more  IPL 2008»
14 years 10 months ago
On the Positive-Negative Partial Set Cover problem
The Positive-Negative Partial Set Cover problem is introduced and its complexity, especially the hardness-of-approximation, is studied. The problem generalizes the Set Cover probl...
Pauli Miettinen