Linear time algorithms for finding sparsest cuts in various graph classes

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Bonsma, Paul S. (2007) Linear time algorithms for finding sparsest cuts in various graph classes. Electronic Notes in Discrete Mathematics, 28 . pp. 265-272. ISSN 1571-0653

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Abstract:[S, S] denotes the set of edges with exactly one end vertex in S. The density of
an edge cut [S, S] is |[S, S]|/(|S||S|). A sparsest cut is an edge cut with minimum density. We characterize the sparsest cuts for unit interval graphs, complete bipartite graphs and cactus graphs. For all of these classes, the characterizations lead to linear time algorithms to find a sparsest cut.
Item Type:Article
Copyright:© 2007 Elsevier
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/78562
Official URL:http://dx.doi.org/10.1016/j.endm.2007.01.039
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