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Minimum Augmentation of Edge-Connectivity between

✍ Scribed by Toshimasa Ishii; Yoko Akiyama; Hiroshi Nagamochi


Publisher
Springer
Year
2008
Tongue
English
Weight
692 KB
Volume
56
Category
Article
ISSN
0178-4617

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We prove theorems on edge splittings and edge-connectivity augmentation in directed hypergraphs, extending earlier results of Mader and Frank, respectively, on directed graphs.

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Given a graph G and target values r(u; v) prescribed for each pair of vertices u and v, we consider the problem of augmenting G by a smallest set F of new edges such that the resulting graph G+F has at least r(u; v) internally disjoint paths between each pair of vertices u and v. We show that the pr