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Connectivity Augmentation of Graphs

✍ Scribed by Bill Jackson; Tibor Jordánn


Book ID
108498126
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
230 KB
Volume
5
Category
Article
ISSN
1571-0653

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Let A(n, k, t) denote the smallest integer e for which every kconnected graph on n vertices can be made (k + t)-connected by adding e new edges. We determine A(n, k, t) for all values of n, k, and t in the case of (directed and undirected) edge-connectivity and also for directed vertex-connectivity

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Given a weighted undirected graph G and a subgraph S of G, we consider the problem of adding a minimum-weight set of edges of G to S so that the resulting Ž . subgraph satisfies specified edge or vertex connectivity requirements between pairs of nodes of S. This has important applications in upgradi