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Maximizing Several Cuts Simultaneously

Published online by Cambridge University Press:  01 March 2007

DANIELA KÜUHN  and
DERYK OSTHUS
DANIELA KÜUHN
Affiliation:
School of Mathematics, Birmingham University, Edgbaston, Birmingham B15 2TT, UK (e-mail: kuehn@maths.bham.ac.uk, osthus@maths.bham.ac.uk)
DERYK OSTHUS
Affiliation:
School of Mathematics, Birmingham University, Edgbaston, Birmingham B15 2TT, UK (e-mail: kuehn@maths.bham.ac.uk, osthus@maths.bham.ac.uk)
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Abstract

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 . This gives an approximate answer to a question of Bollobás and Scott. We also prove results about partitions into more than two vertex classes. Our proofs yield polynomial algorithms.

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 16 , Issue 2 , March 2007 , pp. 277 - 283
Copyright
Copyright © Cambridge University Press 2006

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