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\(k\)-vertex-connectivity minimum augmentation for undirected unweighted graphs. - MaRDI portal

\(k\)-vertex-connectivity minimum augmentation for undirected unweighted graphs. (Q1407835)

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scientific article; zbMATH DE number 1983615
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\(k\)-vertex-connectivity minimum augmentation for undirected unweighted graphs.
scientific article; zbMATH DE number 1983615

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    \(k\)-vertex-connectivity minimum augmentation for undirected unweighted graphs. (English)
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    24 March 2004
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    The authors provide an algorithm for the following problem: Given a graph \(G=(V(G),E(G))\) and a number \(k\). Find a minimum set \(E'\) of edges not in \(E(G)\) so that adding edges in \(E'\) to \(G\) results in a \(k\)-connected graph. The complexity of the algorithm is \(O(k| V(G)| ^5)\).
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    connectivity
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    algorithm
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