Finding the most vital arcs in a network
β Scribed by Michael O. Ball; Bruce L. Golden; Rakesh V. Vohra
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 256 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The most vital link in a single commodity flow network is that arc whose removal results in the greatest reduction in the value of the maximal flow in the network between a source node and a sink node. This paper develops an iterative labeling algorithm to determine the most vital link in the networ
Let G = (V, E) be a weighted undirected graph with n vertices and m edges; each edge e has a weight w(e) assigned to it. Let f(G) be the weight of a minimum spanning tree of G if G is connected; otherwise f(G) = β. The most vital edge of G is an edge e such that f(Ge) β₯ f(G -eβ²) for every other edge