Abstract
Given a network N(V,A,c) and a feasible flow x 0, an inverse maximum flow problem is to modify the capacity vector as little as possible to make x 0 form a maximum flow of the network. The modification can be measured by different norms. In this paper, we consider the inverse maximum flow problems under the combining norms, i.e., the modification cost is fixed in a given interval, and is depended on the modification out of the given interval. For both sum-type and bottleneck-type cases, we present their respective combinatorial algorithms that all run in strongly polynomial times.
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Liu, L. (2013). Inverse Maximum Flow Problems under the Combining Norms. In: Fellows, M., Tan, X., Zhu, B. (eds) Frontiers in Algorithmics and Algorithmic Aspects in Information and Management. Lecture Notes in Computer Science, vol 7924. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38756-2_23
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DOI: https://doi.org/10.1007/978-3-642-38756-2_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38755-5
Online ISBN: 978-3-642-38756-2
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