ON THE APPROXIMABILITY OF MAXIMUM AND MINIMUM EDGE CLIQUE PARTITION PROBLEMS
2007 ◽
Vol 18
(02)
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pp. 217-226
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Keyword(s):
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.
2017 ◽
Vol 27
(04)
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pp. 255-276
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2013 ◽
Vol 23
(06)
◽
pp. 461-477
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2011 ◽
Vol 474-476
◽
pp. 924-927
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Keyword(s):
2001 ◽
Vol 11
(04)
◽
pp. 455-464
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2012 ◽
Vol 55
(3)
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pp. 181-191
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Keyword(s):
2006 ◽
Vol 16
(02n03)
◽
pp. 227-248
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Keyword(s):