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  Approximate Edge Splitting (2001) [1 citations — 0 self]

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by Michel X. Goemans
SIAM J. Discrete Mathematics
http://www-math.mit.edu/~goemans/splitting.ps
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Abstract:

We show that, in any undirected graph, splitting off can be performed while preserving all cuts of value at most 4/3 times the minimum value, and this is best possible. This generalizes a classical splitting-off result of Lov'asz. 1

Citations

184 Combinatorial Problems and Exercises – Lovász - 1993
73 Augmenting Graphs to Meet Edge-Connectivity Requirements – Frank - 1992
58 Connectivity augmentation problems in network design, in: Mathematical Programming: State of the Art 1994 – Frank - 1994
20 Computing all small cuts in undirected networks – Nagamochi, Nishimura, et al. - 1997
10 Ramakrishnan: Minimizing submodular functions over families of subsets – Goemans, Ramakrishnan - 1995
5 Cut structures and randomized algorithms in edge-connectivity problems – Bencz'ur - 1997
2 A reduction method for edge connectivity in graphs – Mader - 1978