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» Approximation Algorithms for Some Graph Partitioning Problem...
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CATS
2006
13 years 7 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...
SODA
1997
ACM
93views Algorithms» more  SODA 1997»
13 years 7 months ago
Fast Approximate Graph Partitioning Algorithms
We study graph partitioning problems on graphs with edge capacities and vertex weights. The problems of b-balanced cuts and k-balanced partitions are unified into a new problem ca...
Guy Even, Joseph Naor, Satish Rao, Baruch Schieber
SPAA
2004
ACM
13 years 11 months ago
Balanced graph partitioning
We consider the problem of partitioning a graph into k components of roughly equal size while minimizing the capacity of the edges between different components of the cut. In part...
Konstantin Andreev, Harald Räcke
IPL
2002
118views more  IPL 2002»
13 years 5 months ago
Differential approximation results for the traveling salesman and related problems
This paper deals with the problem of constructing a Hamiltonian cycle of optimal weight, called TSP. We show that TSP is 2/3-differential approximable and can not be differential a...
Jérôme Monnot
DAM
2008
131views more  DAM 2008»
13 years 5 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...