$2$-Approximation algorithms for two graph clustering problems

2020 ◽  
Vol 27 (3) ◽  
pp. 88-108
Author(s):  
V. P. Il'ev ◽  
S. D. Il'eva ◽  
A. V. Morshinin
Keyword(s):  
Approximation Algorithms ◽  
Graph Clustering ◽  
Clustering Problems

2-Approximation Algorithms for Two Graph Clustering Problems

2020 ◽  
Vol 14 (3) ◽  
pp. 490-502
Author(s):  
V. P. Il’ev ◽  
S. D. Il’eva ◽  
A. V. Morshinin
Keyword(s):  
Approximation Algorithms ◽  
Graph Clustering ◽  
Clustering Problems

ON THE APPROXIMABILITY OF MAXIMUM AND MINIMUM EDGE CLIQUE PARTITION PROBLEMS

2007 ◽  
Vol 18 (02) ◽  
pp. 217-226 ◽  
Author(s):  
ANDERS DESSMARK ◽  
JESPER JANSSON ◽  
ANDRZEJ LINGAS ◽  
EVA-MARTA LUNDELL ◽  
MIA PERSSON
Keyword(s):  
Approximation Algorithms ◽  
Undirected Graph ◽  
Constant Factor ◽  
Graph Partition ◽  
Maximum Cliques ◽  
Graph Classes ◽  
Clustering Problems

We consider the following clustering problems: given an undirected graph, partition its vertices into disjoint clusters such that each cluster forms a clique and the number of edges within the clusters is maximized (Max-ECP), or the number of edges between clusters is minimized (Min-ECP). These problems arise naturally in the DNA clone classification. We investigate the hardness of finding such partitions and provide approximation algorithms. Further, we show that greedy strategies yield constant factor approximations for graph classes for which maximum cliques can be found efficiently.

scholarly journals Approximation algorithms for Hamming clustering problems

2004 ◽  
Vol 2 (2) ◽  
pp. 289-301 ◽  
Author(s):  
Leszek Ga̧sieniec ◽  
Jesper Jansson ◽  
Andrzej Lingas
Keyword(s):  
Approximation Algorithms ◽  
Clustering Problems

scholarly journals The minimum evolution problem is hard: a link between tree inference and graph clustering problems

2015 ◽  
Vol 32 (4) ◽  
pp. 518-522 ◽  
Author(s):  
Sarah Bastkowski ◽  
Vincent Moulton ◽  
Andreas Spillner ◽  
Taoyang Wu
Keyword(s):  
Graph Clustering ◽  
Evolution Problem ◽  
Minimum Evolution ◽  
Tree Inference ◽  
Clustering Problems
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