Optimal Augmentation of a 2-Vertex-Connected Multigraph to a k-Edge-Connected and 3-Vertex-Connected Multigraph
β Scribed by Toshimasa Ishii; Hiroshi Nagamochi; Toshihide Ibaraki
- Book ID
- 110282439
- Publisher
- Springer US
- Year
- 2000
- Tongue
- English
- Weight
- 584 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1382-6905
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This paper presents insertions-only algorithms for maintaining the exact andror approximate size of the minimum edge cut and the minimum vertex cut of a graph. Ε½ . The algorithms output the approximate or exact size k in time O 1 and a cut of size k in time linear in its size. For the minimum edge
## Abstract The concept of a matroid vertex is introduced. The vertices of a matroid of a 3βconnected graph are in oneβtoβone correspondence with vertices of the graph. Thence directly follows Whitney's theorem that cyclic isomorphism of 3βconnected graphs implies isomorphism. The concept of a vert