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
Most vital links and nodes in weighted networks
β Scribed by H.W Corley; David Y Sha
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 373 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
## Abstract In this paper, we consider the flow control in a general multiβnode multiβlink communication network with competing users. Each user has a source node, a destination node, and an existing route for its data flow over any set of links in the network from its source to its destination nod