Augmenting Edge-Connectivity between Vertex Subsets
β Scribed by Toshimasa Ishii, Kazuhisa Makino
- Book ID
- 120910044
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 729 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0178-4617
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G Γ (V, E) be a graph where V and E are a set of nodes and a set of edges, respectively. Let X Γ {V 1 , V 2 , . . . , V p }, V i β V be a family of node-subsets. Each node-subset V i is called an area, and a pair of G and X is called an area graph. A node Β£ β V and an area V i β X are called k-N
We give improved randomized Monte Carlo algorithms for undirected edge splitting and edge connectivity augmentation problems. Our algorithms run in time Λ2 Ε½ . Ε½ . O n on n-vertex graphs, making them an β mrn factor faster than the best known deterministic ones on m-edge graphs.