Maximizing Several Cuts Simultaneously

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Maximizing Several Cuts Simultaneously
Consider two graphs G1 and G2 on the same vertex set V and suppose that Gi has mi edges. Then there is a bipartition of V into two classes A and B so that for both i = 1, 2 we have eGi (A, B) ≥ mi/2 − √ mi. This gives an approximate answer to a question of Bollob´as and Scott. We also prove results about partitions into more than two vertex classes. Our proofs yield polynomial algorithms.
Daniela Kühn, Deryk Osthus
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where CPC
Authors Daniela Kühn, Deryk Osthus
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