In their seminal paper, Frank and JordΓ an show that a large class of optimization problems including certain directed edge augmentation ones fall into the class of covering supermodular functions over pairs of sets. They also give an algorithm for such problems, however, that relies on the ellipsoi
Kernelization and complexity results for connectivity augmentation problems
β Scribed by Jiong Guo; Johannes Uhlmann
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 246 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0028-3045
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π SIMILAR VOLUMES
The problem of finding a minimum augmenting edge-set to make a graph k-vertex connected is considered. This problem is denoted as the minimum k-augmentation problem. For weighted graphs, the minimum k-augmentation problem is NP-complete. Our main result is an approximation algorithm with a performan
A k-separator k-shredder of a k-node connected undirected graph is a set of k Ε½ . nodes whose removal results in two or more three or more connected components. Let n denote the number of nodes. Solving an open question, we show that the problem of counting the number of k-separators is ΰ »P-complete.