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CATS
2006
13 years 6 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...
SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
13 years 10 months ago
A Weakly Robust PTAS for Minimum Clique Partition in Unit Disk Graphs
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Imran A. Pirwani, Mohammad R. Salavatipour
JGAA
2000
179views more  JGAA 2000»
13 years 4 months ago
Approximation Algorithms for Some Graph Partitioning Problems
This paper considers problems of the following type: given an edgeweighted k-colored input graph with maximum color class size c, find a minimum or maximum c-way cut such that eac...
George He, Jiping Liu, Cheng Zhao
GC
2011
Springer
12 years 8 months ago
Minimum Clique Partition in Unit Disk Graphs
The minimum clique partition (MCP) problem is that of partitioning the vertex set of a given graph into a minimum number of cliques. Given n points in the plane, the corresponding...
Adrian Dumitrescu, János Pach
TCS
2010
13 years 3 months ago
Clustering with partial information
The Correlation Clustering problem, also known as the Cluster Editing problem, seeks to edit a given graph by adding and deleting edges to obtain a collection of disconnected cliq...
Hans L. Bodlaender, Michael R. Fellows, Pinar Hegg...