For a given undirected graph G s V, E, c with edges weighted by nonnega-G q Ž . tive reals c : E ª R , let ⌳ k stand for the minimum amount of weights which G G U Ž . needs to be added to make G k-edge-connected, and let G k be the resulting graph obtained from G. This paper first shows that functio
Augmenting Undirected Edge Connectivity in Õ(n2) Time
✍ Scribed by András A Benczúr; David R Karger
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 218 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
✦ Synopsis
We give improved randomized Monte Carlo algorithms for undirected edge splitting and edge connectivity augmentation problems. Our algorithms run in time ˜2 Ž
. Ž . O n on n-vertex graphs, making them an ⍀ mrn factor faster than the best known deterministic ones on m-edge graphs.
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